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 Page 1


        
        
     
      
   
      
   
     
                                   
 
                                     
         
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Page 2


        
        
     
      
   
      
   
     
                                   
 
                                     
         
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
 
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Page 3


        
        
     
      
   
      
   
     
                                   
 
                                     
         
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
 
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
 
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 5
lie in the
a
same quadrant
b
II and III quadrants respectively
c
II and IV quadrants respectively
d
IV and II quadrants respectively
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
Page 4


        
        
     
      
   
      
   
     
                                   
 
                                     
         
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
 
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
 
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 5
lie in the
a
same quadrant
b
II and III quadrants respectively
c
II and IV quadrants respectively
d
IV and II quadrants respectively
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
b
all lie in the III quadrant
c
all lie in the IV quadrant
d
do not lie in the same quadrant
S o l u t i o n :
The point 1, – 1
lies in the IV quadrant.
The point 2, – 2
lies in the IV quadrant.
The point – 3, – 4
lies in the III quadrant.
The point 4, – 5
lies in the IV quadrant.
Hence, the correct option is d
.
Q u e s t i o n : 1 5
Point 0, – 8
lies
a
in the II quadrant
b
in the IV quadrant
c
on the x-axis
d
on the y-axis
S o l u t i o n :
The abscissa of the point 0, – 8
is zero.
The point 0, – 8
lies on the y-axis.
Hence, the correct option is d
.
Q u e s t i o n : 1 6
Point – 7, 0
lies
a
on the negative direction of the x-axis
b
on the negative direction of the y-axis
c
in the III quadrant
d
in the IV quadrant
S o l u t i o n :
The point – 7, 0
lies on the negative direction of the x-axis.
Hence, the correct option is a
.
 
Page 5


        
        
     
      
   
      
   
     
                                   
 
                                     
         
Q u e s t i o n : 8
In which quadrant does the point – 7, – 4
lie?
a
IV
b
II
c
III
d
None of these
S o l u t i o n :
Points of the type – , –
lie in the III quadrant.
The point – 7, – 4
lies in the III quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 9
If x > 0 and y < 0, then the point (x, y) lies in
a
I
b
III
c
II
d
IV
S o l u t i o n :
 
d
IV
?Explanation:
The points of the type +, -
lie in fourth quadrant.
Hence, the point (x,y), where x > 0 and y < 0, lies in quadrant IV.
Q u e s t i o n : 1 0
If a < 0 and b > 0, then the point (a, b) lies in quadrant
a
IV
b
II
c
III
d
none of these
S o l u t i o n :
Ans b
Explanation:
Points of the type -, +
lie in the second quadrant.
Hence, the point P(a,b), where a < 0 and b > 0, lie in quadrant II.
Q u e s t i o n : 1 1
A point both of whose coordinates are negative lies in
a
quadrant I
b
quadrant II
c
quadrant III
d
quadrant IV
S o l u t i o n :
c
quadrant III
?Explanation:
Points of the type -, -
lie in the third quadrant.
 
Q u e s t i o n : 1 2
The points otherthanorigin
for which abscissa is equal to the ordinate will lie in the quadrant
a
I only
b
I or II
c
I or III
d
II or IV
S o l u t i o n :
c
I or III
?Explanation:
If abscissa = ordinate, there could be two possibilities.
Either both are positive or both are negative. So, a point could be either +, +
, which lie in quadrant I or it could be of the type -, -
, which lie in quadrant III.
Hence, the points otherthentheorigin
for which the abscissas are equal to the ordinates lie in quadrant I or III.
Q u e s t i o n : 1 3
The points – 5, 3
and 3, – 5
lie in the
a
same quadrant
b
II and III quadrants respectively
c
II and IV quadrants respectively
d
IV and II quadrants respectively
S o l u t i o n :
The point – 5, 3
lies in the II quadrant.
The point 3, – 5
lies in the IV quadrant.
Hence, the correct option is c
.
Q u e s t i o n : 1 4
Points 1, – 1
, 2, – 2
, – 3, – 4
, 4, – 5
a
all lie in the II quadrant
b
all lie in the III quadrant
c
all lie in the IV quadrant
d
do not lie in the same quadrant
S o l u t i o n :
The point 1, – 1
lies in the IV quadrant.
The point 2, – 2
lies in the IV quadrant.
The point – 3, – 4
lies in the III quadrant.
The point 4, – 5
lies in the IV quadrant.
Hence, the correct option is d
.
Q u e s t i o n : 1 5
Point 0, – 8
lies
a
in the II quadrant
b
in the IV quadrant
c
on the x-axis
d
on the y-axis
S o l u t i o n :
The abscissa of the point 0, – 8
is zero.
The point 0, – 8
lies on the y-axis.
Hence, the correct option is d
.
Q u e s t i o n : 1 6
Point – 7, 0
lies
a
on the negative direction of the x-axis
b
on the negative direction of the y-axis
c
in the III quadrant
d
in the IV quadrant
S o l u t i o n :
The point – 7, 0
lies on the negative direction of the x-axis.
Hence, the correct option is a
.
 
Q u e s t i o n : 1 7
The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is
a
– 5, 0
b
0, – 5
c
5, 0
d
0, 5
S o l u t i o n :
The point which lies on the y-axis at a distance of 5 units in the negative direction of the y-axis is 0, – 5
.
Hence, the correct option is b
.
Q u e s t i o n : 1 8
The ordinate of every point on the x-axis is
a
1
b
–1
c
0
d
any real number
S o l u t i o n :
The ordinate of every point on the x-axis is 0.
Hence, the correct option is c
.
Q u e s t i o n : 1 9
If the y-coordinate of a point is zero then this point always lies
a
on the y-axis
b
on the x-axis
c
in the I quadrant
d
in the IV quadrant
S o l u t i o n :
The coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y).
Thus, if the y-coordinate of a point is zero, then this point always lies on the x-axis.
Hence, the correct answer is option b
.
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FAQs on RS Aggarwal MCQs: Coordinate Geometry - Mathematics (Maths) Class 9

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using a coordinate system. It involves using algebraic techniques to determine the properties of various shapes and objects in the plane or in space.
2. How is the coordinate system represented in coordinate geometry?
Ans. The coordinate system in coordinate geometry is represented by a pair of numbers called coordinates. In a two-dimensional plane, the coordinates are represented by (x, y), where x represents the distance along the x-axis and y represents the distance along the y-axis.
3. What are the different types of coordinates used in coordinate geometry?
Ans. In coordinate geometry, there are different types of coordinates used, such as Cartesian coordinates, polar coordinates, and parametric coordinates. Cartesian coordinates are the most commonly used, where points are represented by ordered pairs (x, y). Polar coordinates represent points using their distance from the origin and the angle they make with a reference line. Parametric coordinates represent points using equations that describe their position in terms of one or more parameters.
4. How is distance calculated in coordinate geometry?
Ans. In coordinate geometry, the distance between two points A(x1, y1) and B(x2, y2) is calculated using the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2) This formula uses the Pythagorean theorem to determine the length of the line segment connecting the two points.
5. How is slope calculated in coordinate geometry?
Ans. In coordinate geometry, the slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: Slope = (y2 - y1) / (x2 - x1) This formula represents the change in y-coordinates divided by the change in x-coordinates between the two points. Slope represents the steepness or gradient of a line.
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