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The area of the quadrant of a circle whose circumference is 22 cm is
Radius = Circumference/2π = 22 x 7/2 x 22 = 7/2
Area of quadrant of circle
= 1/4 x π r^{2}
= 1/4 x 22/7 x 7/2 x 7/2
= 9.625 s q c m
Now square both sides
3 x + 5 = 9 + x + 2 − 6√x − 2
2 x − 6 = − 6 √x − 2
x − 3 = − 3√x − 2
Again squaring both sides
x^{2} − 6 x + 9 = 9 x − 2
x^{2} − 6 x + 9 = 9 x − 18
x^{2} − 15 x + 27 = 0
D = 25^{2} − 4 x 1 x 27 = 225 − 108 = 17 D is not a perfect square: root cannot be rational
As options (a), (b) and (c) are rational, therefore none of them can be true.
If A = sin 57^{o} − sin 1^{o } then
Sides BC, CA and BA of a triangle ABC are produce to D, Q, P respectively. If ∠ACD=100^{o} and ∠QAP=35^{o} find angle ABC.
r  e  o  c 
1  +1  1  +1 
p  g  m  e 
1  +1  1  +1 
n  i  k  g 
1  +1  1  +1 
l  k  i  i 
1  +1  1  +1 
j  m  g  k 
The value of the expression sec^{2}33^{0} − cot^{2}57^{0} , is
If x is a whole number,then x^{2}(x^{2}1) is always divisible by
A man sold two watches for Rs. 240 each on one he gained 20% and on the other he lost 20%. The gain or loss percent in the transaction is
S.P. of both the watches = Rs. 480
S.P. of each watch = Rs. 240
Gain = 20%
∴ C.P. = 240 x 100/100 + 20 = 200
If loss = 20%, then C.P. = 240 x 100/ 100  20 = 300
∴ C.P. of both the watches = Rs. 500
∴ Loss % = 20/500 x100 = 4
Given n = 10, ∑x = 4, ∑y = 3, ∑x^{2} = 8, ∑y^{2}= 9 ∑xy = 3, then the coeff. of correlation is
If v is the variance and σ is the standard deviation, then
Four people of different nationalities live on the same side of a street in four houses each of different colour. Each person has a different favourite drink. The following addition information is also known :
A. The Englishman lives in the red house.
B. The Italian drinks tea.
C. The Norwegian lives in the first house on the left.
D. In the second house from the right they drink milk.
E. The Norweigan lives adjacent to the blue house.
F. The Spaniard drinks fruit juice.
G. Tea is drunk in the blue house.
H. The white house is to the right of the red house.
I. Coca is drunk in the yellow house.
Q. Milk is drunk by :
Four people of different nationalities live on the same side of a street in four houses each of different colour. Each person has a different favourite drink. The following addition information is also known :
A. The Englishman lives in the red house.
B. The Italian drinks tea.
C. The Norwegian lives in the first house on the left.
D. In the second house from the right they drink milk.
E. The Norweigan lives adjacent to the blue house.
F. The Spaniard drinks fruit juice.
G. Tea is drunk in the blue house.
H. The white house is to the right of the red house.
I. Coca is drunk in the yellow house.
Q. The Norwegian drinks :
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