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All questions of December Week 2 for Class 10 Exam
The shaded part of the circle in the given figure represents a
- a)semi-circle
- b)Chord
- c)Sector
- d)Segment
Correct answer is option 'D'. Can you explain this answer?
The shaded part of the circle in the given figure represents a
a)
semi-circle
b)
Chord
c)
Sector
d)
Segment
|
Neer Shreyansh answered |
¶¶ According to the arithmetic definition of segment.
•• segment is a area which is form when a chord joins two point of arc of a circle....
→→And here the shaded portion verif all the possible conditions of segment so we say that the shaded area is a segment.
§ That's all §
•• segment is a area which is form when a chord joins two point of arc of a circle....
→→And here the shaded portion verif all the possible conditions of segment so we say that the shaded area is a segment.
§ That's all §
People feel that democracy is better as it promotes
- a)equality
- b)freedom
- c)dignity
- d)all of these
Correct answer is option 'D'. Can you explain this answer?
People feel that democracy is better as it promotes
a)
equality
b)
freedom
c)
dignity
d)
all of these
|
|
Priyanshu Intelligent answered |
Yes , It promotes equality, freedom and dignity.
Many countries of the world claim and practice- a)authoritarianism
- b)democracy
- c)dictatorship
- d)none of the above
Correct answer is option 'B'. Can you explain this answer?
Many countries of the world claim and practice
a)
authoritarianism
b)
democracy
c)
dictatorship
d)
none of the above
|
Upsc Lover answered |
-> In our society, every individual wants to receive respect from fellow beings. In this respect, democratic form of government stands much superior to any other form of government in promoting dignity and freedom of the individual.
=}} so option "B" is right
=}} so option "B" is right
On a clear day, the sky appears to be more blue towards the zenith (overhead) than it does toward the horizon. This occurs because:- a)the atmosphere is denser higher up than it is at the earth’s surface.
- b)the temperature of the upper atmosphere is higher than it is at the earth’s surface.
- c)the sunlight travels over a longer path at the horizon, resulting in more absorption.
- d)none of the above is true.
Correct answer is option 'C'. Can you explain this answer?
On a clear day, the sky appears to be more blue towards the zenith (overhead) than it does toward the horizon. This occurs because:
a)
the atmosphere is denser higher up than it is at the earth’s surface.
b)
the temperature of the upper atmosphere is higher than it is at the earth’s surface.
c)
the sunlight travels over a longer path at the horizon, resulting in more absorption.
d)
none of the above is true.
|
Aditya Shah answered |
Because when the light of sun travel a long distance it meets with large amount of particles present in atmosphere. When they crush with small particles they got scattered due to which the blue color which have shorter wavelength, scatters most by which the sky seems blue.
The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters.
- a)1:2
- b)1:5
- c)1:6
- d)1:8
Correct answer is option 'B'. Can you explain this answer?
The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters.
a)
1:2
b)
1:5
c)
1:6
d)
1:8
|
Abhishek Anand answered |
Let the radii of circles be R1 and R2
according to question,
R1/R2 = 1/5
therefore, R1 = R2/5
Also,
2πR1/2πR2
By Putting the value of R1 here we can write this like,
2πR2/5/ 2πR2
now 2π and 2π will be cancelled, and this will be left ->
R2/5 × 5/R2
After cancelling R2 and R2, 1/5 will be left
= 1:5
So, the ratio of 2πR1 / 2πR2 = 1:5
according to question,
R1/R2 = 1/5
therefore, R1 = R2/5
Also,
2πR1/2πR2
By Putting the value of R1 here we can write this like,
2πR2/5/ 2πR2
now 2π and 2π will be cancelled, and this will be left ->
R2/5 × 5/R2
After cancelling R2 and R2, 1/5 will be left
= 1:5
So, the ratio of 2πR1 / 2πR2 = 1:5
Find the circumference of the circle, whose area is 144 cm2- a)24 πcm
- b)46 πcm
- c)72 πcm
- d)12 πcm
Correct answer is option 'A'. Can you explain this answer?
Find the circumference of the circle, whose area is 144 cm2
a)
24 πcm
b)
46 πcm
c)
72 πcm
d)
12 πcm
|
|
Anjana Khatri answered |
area = pi times the square of the radius
so the radius is the square root of 144, or 12cm
circumference is pi times twice the radius, so it would be 24 pi cm
We can judge democracy by its- a)people
- b)outcomes
- c)political parties
- d)none of the above
Correct answer is option 'B'. Can you explain this answer?
We can judge democracy by its
a)
people
b)
outcomes
c)
political parties
d)
none of the above
|
|
Priti Joshi answered |
Democracy can be judged by its outcome because it opens the path of expectations which is one of the criteria for judging any democratic country. ... Democratic governements are based on the rule of law. Government functions on the basis of the rule of law and not on the wishes of the political...
One cannot see through fog because :- a)light suffers total internal reflection at the droplets of fog.
- b)light is scattered by the droplets of fog.
- c)the refractive index of fog is infinity.
- d)fog absorbs light.
Correct answer is option 'B'. Can you explain this answer?
One cannot see through fog because :
a)
light suffers total internal reflection at the droplets of fog.
b)
light is scattered by the droplets of fog.
c)
the refractive index of fog is infinity.
d)
fog absorbs light.
|
Shipra Rekha Acharya answered |
One cannot see through fog, because B
light is scattered by droplets.
This happens inherently because fog is composed of water or ice crystals that remain near the surface of the earth.
It can also be known as low-lying cloud which gets influenced by topography, water bodies and wind conditions of a place.
i hope it's helpful for us....
light is scattered by droplets.
This happens inherently because fog is composed of water or ice crystals that remain near the surface of the earth.
It can also be known as low-lying cloud which gets influenced by topography, water bodies and wind conditions of a place.
i hope it's helpful for us....
The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be- a)Rs. 2112
- b)Rs. 3456
- c)Rs. 2000
- d)Rs. 2211
Correct answer is option 'A'. Can you explain this answer?
The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 6 per meter will be
a)
Rs. 2112
b)
Rs. 3456
c)
Rs. 2000
d)
Rs. 2211
|
Pardeep Singh answered |
Area of circle=πr²
9856=πr²
9856*7/22=r²
√3136=r
56=r
circumference=2*22/7*56
=352m
cost of fencing 352m=352*6
=rs2112
9856=πr²
9856*7/22=r²
√3136=r
56=r
circumference=2*22/7*56
=352m
cost of fencing 352m=352*6
=rs2112
If the perimeter of a sector of a circle of radius 5.2 cm. is 16.4 cm. What multiple of the radius is the area of the sector?- a)5th
- b)3rd
- c)4th
- d)2nd
Correct answer is option 'B'. Can you explain this answer?
If the perimeter of a sector of a circle of radius 5.2 cm. is 16.4 cm. What multiple of the radius is the area of the sector?
a)
5th
b)
3rd
c)
4th
d)
2nd
|
Nisha Choudhury answered |
Let AOB be the given sector.
Given,
Radius of circle r = 5.2 cm
Perimeter of sector AOB = 16.4 cm
So, OA + OB + Arc AB = 16.4 cm
5.2 + 5.2 + Arc AB = 16.4 cm
Arc AB = 6 cm
l = Arc length AB
= 6 cm
Area of sector AOB = 1/2 * r * l
= 1 / 2 * 5.2 x 6
= 15.6 cm^2 Ans.
If the difference between the circumference and the radius of a circle is 37 cm, then using π = 22/7, the circumference (in cm) of the circle is:- a)44
- b)7
- c)14
- d)154
Correct answer is option 'A'. Can you explain this answer?
If the difference between the circumference and the radius of a circle is 37 cm, then using π = 22/7, the circumference (in cm) of the circle is:
a)
44
b)
7
c)
14
d)
154
|
Adidev Nair answered |
Let r be the radius of circle.
Difference between circumference and radius of circle = 37 cm
Circumference of circle = 2
r
= 2 x 22/7 x r = 44/7 x r
Now,
Difference between circumference and radius of circle = 2
r - r
37 = 44/7 x r - r
37 = r(44/7-1)
37 = r(44 - 7)/7
37 = 37 / 7 x r
37 x 7/37 = r
r = 7 cm
Now , Circumference of circle = 44/7 x r
= 44/7 x 7
= 44 cm .
∴ Circumference of circle = 44 cm
What will be the colour of sky if there is no atmosphere on the earth?- a)Dark blue
- b)Black
- c)Red
- d)White
Correct answer is option 'B'. Can you explain this answer?
What will be the colour of sky if there is no atmosphere on the earth?
a)
Dark blue
b)
Black
c)
Red
d)
White
|
Malavika Basu answered |
Raleigh Scattering of light by the atmosphere is what causes "the sky" to appear blue (and sunsets to appear red), but that "sky" is a colour of the atmosphere. If there is no atmosphere, what colour is it?
Without the atmosphere there is nothing local to act as a (secondary) source of light, so there is no light and we conventionally call objects that emit (little or) no light "black". So the non-object that is "the sky" could be called "black".
If we consider all light from "the heavens" to be the colour of "the sky" then it is clearly not "black". Even with the atmosphere and nasty light pollution from cities, the Milky Way appears rather off-white. With an even grander view of the Universe, we are told it's overall shade is Cosmic Latte, but I would take that with a pinch of salt or, perhaps, a tint of grey when it comes to human perception.
My preferred word for the apparent colour of "the sky" would be transparent rather than "black", but a pedant could argue that "transparent" is not a colour...
Which light is easily scattered ?- a)Long wavelength light
- b)Short wavelength light
- c)Sunlight
- d)Coherent light
Correct answer is option 'B'. Can you explain this answer?
Which light is easily scattered ?
a)
Long wavelength light
b)
Short wavelength light
c)
Sunlight
d)
Coherent light
|
Rohit Sharma answered |
The light having short wavelength can be scattered easily. For example, blue light shorter wavelength so it is scattered more easily.
Assertion: Democracy stands much superior to any other form of government in promoting dignity and freedom of the Indian.
Reason : Democracies have successfully reduced economic disparities.- a)Both A and R asre true and R is the correct explanation of A.
- b)Both A and R are true but R is not the correct explanation of A.
- c)A is correct but R is wrong.
- d)A is wrong but R is correc
Correct answer is option 'C'. Can you explain this answer?
Assertion: Democracy stands much superior to any other form of government in promoting dignity and freedom of the Indian.
Reason : Democracies have successfully reduced economic disparities.
Reason : Democracies have successfully reduced economic disparities.
a)
Both A and R asre true and R is the correct explanation of A.
b)
Both A and R are true but R is not the correct explanation of A.
c)
A is correct but R is wrong.
d)
A is wrong but R is correc
|
|
Ŕåmžãřįbä answered |
A is correct but R is wrong.
If the diameter of semicircular protractor is 14 cm, then its perimeter is:- a)30 cm
- b)36 cm
- c)44 cm
- d)40 cm
Correct answer is option 'B'. Can you explain this answer?
If the diameter of semicircular protractor is 14 cm, then its perimeter is:
a)
30 cm
b)
36 cm
c)
44 cm
d)
40 cm
|
Gaurav Kumar answered |
Diameter=14, Radius=d/2=14/2=7cm
Perimeter of the semi- circle= Boundary of the semi-circle =Circumference of the semi-circle +Diameter= πr+D=
Perimeter of the semi- circle= Boundary of the semi-circle =Circumference of the semi-circle +Diameter= πr+D=
The area of a circle with diameter 6 m exceeds the combined areas of circles with diameters 4m and 2 m by- a)5π m2
- b)0 m2
- c)π m2
- d)4π m2
Correct answer is option 'D'. Can you explain this answer?
The area of a circle with diameter 6 m exceeds the combined areas of circles with diameters 4m and 2 m by
a)
5π m2
b)
0 m2
c)
π m2
d)
4π m2
|
|
Pardeep Singh answered |
R=d/2=6/2=3cm
area of circle1=πr²
=9πcm² ......(1)
R=d/2=4/2=2cm
area of circle2=πr²
=4πcm²
R=d/2=2/2=1cm
area of circle=πr²
=πcm²
now add area of circle 2and3
=4π+π
=5π........(2)
now sub 2 from 1
=9π-5π
=4πcm²
If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will be- a)C/2
- b)C/4+r
- c)C/4
- d)C/4+2r
Correct answer is option 'D'. Can you explain this answer?
If C is the circumference of a circle of radius r, then perimeter of one of the quadrants will be
a)
C/2
b)
C/4+r
c)
C/4
d)
C/4+2r
|
Adithya Shasan answered |
Circumference = 2Πr
radius = r
Perimeter of quadrant = 2r + 2Πr/4
= 2r + C/4
= C/4 + 2r
Therefore, Correct answer is option 'D'.
radius = r
Perimeter of quadrant = 2r + 2Πr/4
= 2r + C/4
= C/4 + 2r
Therefore, Correct answer is option 'D'.
Economic growth depends on which of the following?a)Size of the population of the countryb)Territory or area of the countryc)Global scenariod)all of the abpveCorrect answer is option 'D'. Can you explain this answer?
|
|
Anita Menon answered |
All the given options are correct.
Explanation:- Economic growth depends upon:-
- Size of the population of the country.
- Territory or area of the country
- Global scenario
Assertion : There is an overwhelming support for the idea of democracy all over the world.
Reason : Democracy has successfully promoted economic development.- a)Both A and R are true and R is the correct explanation of A.
- b)Both A and R are true but R is not the correct explanation of A.
- c)A is correct but R is wrong.
- d)A is wrong but R is correct.
Correct answer is option 'C'. Can you explain this answer?
Assertion : There is an overwhelming support for the idea of democracy all over the world.
Reason : Democracy has successfully promoted economic development.
Reason : Democracy has successfully promoted economic development.
a)
Both A and R are true and R is the correct explanation of A.
b)
Both A and R are true but R is not the correct explanation of A.
c)
A is correct but R is wrong.
d)
A is wrong but R is correct.
|
Vivek Rana answered |
The correct option is Option C.
There is an overwhelming support for the idea of democracy all over the world because:
(i) A democratic government is people's own government.
(ii) The evidence from South Asia shows that the support exists in countries with democratic regimes.
(iii) People wished to be ruled by representatives elected by them.
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is- a)8 a
- b)2 a
- c)16 a
- d)4 a
Correct answer is option 'A'. Can you explain this answer?
The perimeter (in cm) of a square circumscribing a circle of radius a cm, is
a)
8 a
b)
2 a
c)
16 a
d)
4 a
|
Learning Education answered |
Let ABCD is a square circumscribing a circle of radius a cm.
The side of square ABCD = Diameter of circle
⇒AB=2a
Therefore, perimeter of square AB=4×AB=4×2a=8 cm
The side of square ABCD = Diameter of circle
⇒AB=2a
Therefore, perimeter of square AB=4×AB=4×2a=8 cm
The phenomenon of scattering of light by the colloidal particles is called- a)Dispersion of light
- b)Tyndall effect
- c)Atmospheric scattering
- d)Atmospheric refraction
Correct answer is option 'B'. Can you explain this answer?
The phenomenon of scattering of light by the colloidal particles is called
a)
Dispersion of light
b)
Tyndall effect
c)
Atmospheric scattering
d)
Atmospheric refraction
|
|
Rahul Kapoor answered |
The phenomenon of scattering of light by the colloidal particles is called Tyndall effect. Due to this phenomenon the light rays are visible when light passes through a hole in a room or in a dense forest through the trees.
A garden roller has a circumference of 4 m. The number of revolutions it makes in moving 40 metres are:- a)12
- b)16
- c)8
- d)10
Correct answer is option 'D'. Can you explain this answer?
A garden roller has a circumference of 4 m. The number of revolutions it makes in moving 40 metres are:
a)
12
b)
16
c)
8
d)
10
|
|
Avinash Patel answered |
We have circumference which is equal to the boundary of the circle. So we have one revolution equal to circumference of the circle which is equal to 4
Distance covered by the roller=circumference of the roller*number of revolutions
⇒ number of revolutions = distance covered by the roller/circumference of the roller
= 40/4 = 10
Distance covered by the roller=circumference of the roller*number of revolutions
⇒ number of revolutions = distance covered by the roller/circumference of the roller
= 40/4 = 10
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then
a)
b)
c)
d)
|
|
Ananya Das answered |
Area of circle with radius R1 = πR12
Area of circle with radius R2 = πR22
Area of circle with radius R = πR2
Area of circle with radius R1+Area of circle with radius R2 =Area of circle with radius R
πR12 + πR22=πR2
R12+R22=R2
Area of circle with radius R2 = πR22
Area of circle with radius R = πR2
Area of circle with radius R1+Area of circle with radius R2 =Area of circle with radius R
πR12 + πR22=πR2
R12+R22=R2
The danger signals are red in colour because it is- a)strongly scattered by fog or smoke
- b)least scattered by fog or smoke
- c)least absorbed by fog or smoke.
- d)strongly absorbed by fog or smoke
Correct answer is option 'B'. Can you explain this answer?
The danger signals are red in colour because it is
a)
strongly scattered by fog or smoke
b)
least scattered by fog or smoke
c)
least absorbed by fog or smoke.
d)
strongly absorbed by fog or smoke
|
|
Amit Kumar answered |
The danger signals are red because among all other colours, red colour is scattered the least by smoke or fog. This is primarily because wavelength of red colour is the largest.
Which colour is strongly scattered by the molecules of air and other fine particles?- a)Green
- b)Red
- c)Red and Blue both
- d)Blue
Correct answer is option 'D'. Can you explain this answer?
Which colour is strongly scattered by the molecules of air and other fine particles?
a)
Green
b)
Red
c)
Red and Blue both
d)
Blue
|
|
Amit Sharma answered |
Sunlight reaches Earth's atmosphere and is scattered in all directions by all the gases and particles in the air. Blue light is scattered in all directions by the tiny molecules of air in Earth's atmosphere. Blue travels as shorter, smaller waves. So as shorter the wavelength, stronger will be the light scattered. Hence, blue light is strongly scattered.
A wire is bent in the form of a circle of radius 28 cm. It is bent to form a square. The length of the side of the square will be- a)44 cm
- b)40 cm
- c)88 cm
- d)30 cm
Correct answer is option 'A'. Can you explain this answer?
A wire is bent in the form of a circle of radius 28 cm. It is bent to form a square. The length of the side of the square will be
a)
44 cm
b)
40 cm
c)
88 cm
d)
30 cm
|
|
Gaurav Kumar answered |
Circumference of a circle = 2πr
= 2*22/7*28
= 2*22*4
= 176
now, perimeter of square = circumference of a circle = 176
Therefore, side of square = perimeter/4
= 176/4
= 44 answer.
= 2*22/7*28
= 2*22*4
= 176
now, perimeter of square = circumference of a circle = 176
Therefore, side of square = perimeter/4
= 176/4
= 44 answer.
The blue colour of the sky is due to the fact that:- a)Red light is preferentially scattered.
- b)blue is the natural colour of sky.
- c)blue light is preferentially scattered.
- d)red light is absorbed.
Correct answer is option 'C'. Can you explain this answer?
The blue colour of the sky is due to the fact that:
a)
Red light is preferentially scattered.
b)
blue is the natural colour of sky.
c)
blue light is preferentially scattered.
d)
red light is absorbed.
|
Ashish joshi answered |
Understanding the Blue Colour of the Sky
The blue colour of the sky is primarily due to a phenomenon known as Rayleigh scattering. Here’s a detailed explanation:
What is Rayleigh Scattering?
- Rayleigh scattering occurs when sunlight interacts with molecules in the Earth’s atmosphere.
- Sunlight, or white light, is composed of multiple colours, each with different wavelengths.
Why is Blue Light Scattered More?
- Blue light has a shorter wavelength compared to other colours like red or yellow.
- When sunlight passes through the atmosphere, the shorter wavelengths (blue) are scattered in all directions more effectively than longer wavelengths (red).
Resulting Effect on the Sky's Colour
- Since blue light is scattered more than other colours, it is the predominant colour that we see when we look up at the sky.
- This scattering causes the direct sunlight to appear less blue and the sky itself to appear predominantly blue.
Conclusion
- Therefore, the correct answer to the question about why the sky is blue is option 'C': blue light is preferentially scattered.
- This concept is fundamental in understanding atmospheric optics and the appearance of the natural environment.
By grasping this principle, one can appreciate the beauty of our sky and the science behind its captivating colour.
The blue colour of the sky is primarily due to a phenomenon known as Rayleigh scattering. Here’s a detailed explanation:
What is Rayleigh Scattering?
- Rayleigh scattering occurs when sunlight interacts with molecules in the Earth’s atmosphere.
- Sunlight, or white light, is composed of multiple colours, each with different wavelengths.
Why is Blue Light Scattered More?
- Blue light has a shorter wavelength compared to other colours like red or yellow.
- When sunlight passes through the atmosphere, the shorter wavelengths (blue) are scattered in all directions more effectively than longer wavelengths (red).
Resulting Effect on the Sky's Colour
- Since blue light is scattered more than other colours, it is the predominant colour that we see when we look up at the sky.
- This scattering causes the direct sunlight to appear less blue and the sky itself to appear predominantly blue.
Conclusion
- Therefore, the correct answer to the question about why the sky is blue is option 'C': blue light is preferentially scattered.
- This concept is fundamental in understanding atmospheric optics and the appearance of the natural environment.
By grasping this principle, one can appreciate the beauty of our sky and the science behind its captivating colour.
The length of the line that marks out a circle and its region is the- a)Diameter
- b)Circumference
- c)Radius
- d)Chord
Correct answer is option 'B'. Can you explain this answer?
The length of the line that marks out a circle and its region is the
a)
Diameter
b)
Circumference
c)
Radius
d)
Chord
|
Papa answered |
Because line become it boundary which is circumference of circle
The basic outcome of democracy is- a)Political, social and economic outcome
- b)Military outcome
- c)Restricted and limited welfare policies.
- d)Elimination of poverty
Correct answer is option 'A'. Can you explain this answer?
The basic outcome of democracy is
a)
Political, social and economic outcome
b)
Military outcome
c)
Restricted and limited welfare policies.
d)
Elimination of poverty
|
Teju Sre answered |
The answer is A bcs political in the sense elections and social aspect is equality before law and making welfare policies and in economic outcome ,eradicating poverty is also included....
The radius of a circle if its perimeter and area are numerically equal is- a)8 units
- b)5 units
- c)2 units
- d)4 units
Correct answer is option 'C'. Can you explain this answer?
The radius of a circle if its perimeter and area are numerically equal is
a)
8 units
b)
5 units
c)
2 units
d)
4 units
|
|
Ananya Das answered |
The perimeter of a circle is 2πr where r is the radius of the circle.
And it's area is πr^2
If area = perimeter
Then,
2πr = πr^2
2 = πr^2 / πr = r
Therefore, if r is 2units then the area and perimeter of the circle would be numerically equal.
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is- a)50 cm
- b)31 cm
- c)62 cm
- d)25 cm
Correct answer is option 'A'. Can you explain this answer?
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is
a)
50 cm
b)
31 cm
c)
62 cm
d)
25 cm
|
|
Mohini iyer answered |
Given:
Radius of first circle = 24 cm
Radius of second circle = 7 cm
We need to find the diameter of a circle whose area is equal to the sum of the areas of the two circles.
Formula for the area of a circle:
Area = πr^2
Let's calculate the areas of the two circles first.
Area of the first circle = π(24)^2
= 576π cm^2
Area of the second circle = π(7)^2
= 49π cm^2
Now, we need to find the diameter of a circle whose area is equal to the sum of the areas of the two circles.
Sum of the areas of the two circles = 576π + 49π
= 625π cm^2
To find the diameter, we can use the formula for the area of a circle:
Area = πr^2
Let's substitute the given area into the formula:
625π = πr^2
Dividing both sides by π:
625 = r^2
Taking the square root of both sides:
r = √625
r = 25 cm
Since the radius is 25 cm, the diameter will be twice the radius:
Diameter = 2r
= 2(25)
= 50 cm
Therefore, the diameter of the circle whose area is equal to the sum of the areas of the two circles is 50 cm, which corresponds to option A.
Radius of first circle = 24 cm
Radius of second circle = 7 cm
We need to find the diameter of a circle whose area is equal to the sum of the areas of the two circles.
Formula for the area of a circle:
Area = πr^2
Let's calculate the areas of the two circles first.
Area of the first circle = π(24)^2
= 576π cm^2
Area of the second circle = π(7)^2
= 49π cm^2
Now, we need to find the diameter of a circle whose area is equal to the sum of the areas of the two circles.
Sum of the areas of the two circles = 576π + 49π
= 625π cm^2
To find the diameter, we can use the formula for the area of a circle:
Area = πr^2
Let's substitute the given area into the formula:
625π = πr^2
Dividing both sides by π:
625 = r^2
Taking the square root of both sides:
r = √625
r = 25 cm
Since the radius is 25 cm, the diameter will be twice the radius:
Diameter = 2r
= 2(25)
= 50 cm
Therefore, the diameter of the circle whose area is equal to the sum of the areas of the two circles is 50 cm, which corresponds to option A.
Social outcomes of the democracy cover the areas like
(i) Dignity and freedom of citizens
(ii) Untouchability and discrimination
(iii) Gender equality
(iv) Ban on child labour- a)(i), (iiii) and (iv)
- b)(i) , (ii), (iii), (iv)
- c)(ii) and (iv)
- d)(i) , (ii), and (iv)
Correct answer is option 'B'. Can you explain this answer?
Social outcomes of the democracy cover the areas like
(i) Dignity and freedom of citizens
(ii) Untouchability and discrimination
(iii) Gender equality
(iv) Ban on child labour
(i) Dignity and freedom of citizens
(ii) Untouchability and discrimination
(iii) Gender equality
(iv) Ban on child labour
a)
(i), (iiii) and (iv)
b)
(i) , (ii), (iii), (iv)
c)
(ii) and (iv)
d)
(i) , (ii), and (iv)
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Rutuja Mukherjee answered |
Understanding Social Outcomes of Democracy
Democracy is not just about political rights; it encompasses various social outcomes that contribute to the overall well-being of citizens. The options listed in the question highlight important areas that reflect the essence of a democratic society.
Key Areas of Social Outcomes:
Correct Answer Explanation:
The correct answer is option 'B' because:
In summary, option 'B' encapsulates the essence of social outcomes in a democratic context, highlighting the imperative to uphold dignity, equality, and justice for all citizens.
Democracy is not just about political rights; it encompasses various social outcomes that contribute to the overall well-being of citizens. The options listed in the question highlight important areas that reflect the essence of a democratic society.
Key Areas of Social Outcomes:
- Dignity and Freedom of Citizens: A fundamental principle of democracy is the recognition of each individual's dignity and the protection of their freedoms. This ensures that citizens can express themselves without fear of repression.
- Untouchability and Discrimination: Democracy aims to eradicate social injustices, including untouchability and discrimination based on caste, race, or religion. Addressing these issues is crucial for fostering an inclusive society.
- Gender Equality: A democratic society promotes gender equality, ensuring that all individuals, regardless of gender, have equal rights and opportunities. This is vital for social progress and justice.
- Ban on Child Labour: Protecting children from exploitation, including child labour, is a significant aspect of social justice within a democracy. It reflects a society's commitment to the rights of the most vulnerable.
Correct Answer Explanation:
The correct answer is option 'B' because:
- Each of the points (i), (ii), (iii), and (iv) directly relates to social outcomes stemming from democratic values.
- Democracy inherently promotes dignity and freedom (i), combats discrimination (ii), advocates for gender equality (iii), and seeks to eliminate child labour (iv).
- Thus, all four areas collectively represent the social outcomes that a thriving democracy strives to achieve.
In summary, option 'B' encapsulates the essence of social outcomes in a democratic context, highlighting the imperative to uphold dignity, equality, and justice for all citizens.
If the perimeter and area of a circle are numerically equal, then the radius of the circle is- a)7 units
- b)4 units
- c)2 units
- d)π units
Correct answer is option 'C'. Can you explain this answer?
If the perimeter and area of a circle are numerically equal, then the radius of the circle is
a)
7 units
b)
4 units
c)
2 units
d)
π units
|
|
Khushi Pandey answered |
According to question,
2πr = πr²..
-» r = 2 units...
2πr = πr²..
-» r = 2 units...
Assertion : Democracies have had greater success in setting up regular and free elections.
Reason : Elections are conducted by an independent body like Election Commission.- a)Both A and R are true and R is the correct explanation of A.
- b)Both A and R are true but R is not the correct explanation of A.
- c)A is correct but R is wrong
- d)A is wrong but R is correct
Correct answer is option 'B'. Can you explain this answer?
Assertion : Democracies have had greater success in setting up regular and free elections.
Reason : Elections are conducted by an independent body like Election Commission.
Reason : Elections are conducted by an independent body like Election Commission.
a)
Both A and R are true and R is the correct explanation of A.
b)
Both A and R are true but R is not the correct explanation of A.
c)
A is correct but R is wrong
d)
A is wrong but R is correct
|
Kds Coaching answered |
Assertion: Democracies have had greater success in setting up regular and free elections.
Reason: Elections are conducted by an independent body like Election Commission.
Reason: Elections are conducted by an independent body like Election Commission.
While both the assertion and the reason are true, the reason provided is not the direct explanation for the assertion. Democracies' success in setting up regular and free elections is due to various factors, such as political culture, citizens' participation, and institutional frameworks. The presence of independent bodies like the Election Commission ensures fair and unbiased electoral processes, but it is not the sole reason for the success of democracies in elections. Therefore, Option 2 is the correct choice: Both A and R are true, but R is not the correct explanation of A.
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