NCERT Exemplar Solutions
Class 9 - Mathematics - CHAPTER 3: COORDINATE GEOMETRY
Exercise 3.1 - Multiple Choice Questions

Choose the correct answer from the given four options:

Question.  1

Point \( (-3, 5) \) lies in the

(A)

first quadrant

(B)

second quadrant

(C)

third quadrant

(D)

fourth quadrant

Question.  2

Signs of the abscissa and ordinate of a point in the second quadrant are respectively

(A)

+, +

(B)

-, -

(C)

-, +

(D)

+, -

Question.  3

Point \( (0, -7) \) lies

(A)

on the x-axis

(B)

in the second quadrant

(C)

on the y-axis

(D)

in the fourth quadrant

Question.  4

Point \( (-10, 0) \) lies

(A)

on the negative direction of the x-axis

(B)

on the negative direction of the y-axis

(C)

in the third quadrant

(D)

in the fourth quadrant

Question.  5

Abscissa of all the points on the x-axis is

(A)

0

(B)

1

(C)

2

(D)

any number

Question.  6

Ordinate of all points on the x-axis is

(A)

0

(B)

1

(C)

-1

(D)

any number

Question.  7

The point at which the two coordinate axes meet is called the

(A)

abscissa

(B)

ordinate

(C)

origin

(D)

quadrant

Question.  8

A point both of whose coordinates are negative will lie in

(A)

I quadrant

(B)

II quadrant

(C)

III quadrant

(D)

IV quadrant

Question.  9

Points \( (1, -1) \), \( (2, -2) \), \( (4, -5) \), \( (-3, -4) \)

(A)

lie in II quadrant

(B)

lie in III quadrant

(C)

lie in IV quadrant

(D)

do not lie in the same quadrant

Question.  10

If y coordinate of a point is zero, then this point always lies

(A)

in I quadrant

(B)

in II quadrant

(C)

on x-axis

(D)

on y-axis

Question.  11

The points \( (-5, 2) \) and \( (2, -5) \) lie in the

(A)

same quadrant

(B)

II and III quadrants, respectively

(C)

II and IV quadrants, respectively

(D)

IV and II quadrants, respectively

Question.  12

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has

(A)

x coordinate = -5

(B)

y coordinate = 5 only

(C)

y coordinate = -5 only

(D)

y coordinate = 5 or -5

Question.  13

On plotting the points O \( (0, 0) \), A \( (3, 0) \), B \( (3, 4) \), C \( (0, 4) \) and joining OA, AB, BC and CO which of the following figure is obtained?

(A)

Square

(B)

Rectangle

(C)

Trapezium

(D)

Rhombus

Question.  14

If P \( (-1, 1) \), Q \( (3, -4) \), R \( (1, -1) \), S \( (-2, -3) \) and T \( (-4, 4) \) are plotted on the graph paper, then the point(s) in the fourth quadrant are

(A)

P and T

(B)

Q and R

(C)

Only S

(D)

P and R

Question.  15

If the coordinates of the two points are P \( (-2, 3) \) and Q \( (-3, 5) \), then (abscissa of P) − (abscissa of Q) is

(A)

-5

(B)

1

(C)

-1

(D)

-2

Question.  16

If P \( (5, 1) \), Q \( (8, 0) \), R \( (0, 4) \), S \( (0, 5) \) and O \( (0, 0) \) are plotted on the graph paper, then the point(s) on the x-axis are

(A)

P and R

(B)

R and S

(C)

Only Q

(D)

Q and O

Question.  17

Abscissa of a point is positive in

(A)

I and II quadrants

(B)

I and IV quadrants

(C)

I quadrant only

(D)

II quadrant only

Question.  18

The points whose abscissa and ordinate have different signs will lie in

(A)

I and II quadrants

(B)

II and III quadrants

(C)

I and III quadrants

(D)

II and IV quadrants

Question.  19

In Fig. 3.1, coordinates of P are

(A)

\( (-4, 2) \)

(B)

\( (-2, 4) \)

(C)

\( (4, -2) \)

(D)

\( (2, -4) \)

Question.  20

In Fig. 3.2, the point identified by the coordinates \( (-5, 3) \) is

(A)

T

(B)

R

(C)

L

(D)

S

Question.  21

The point whose ordinate is 4 and which lies on y-axis is

(A)

\( (4, 0) \)

(B)

\( (0, 4) \)

(C)

\( (1, 4) \)

(D)

\( (4, 2) \)

Question.  22

Which of the points P\( (0, 3) \), Q\( (1, 0) \), R\( (0, -1) \), S\( (-5, 0) \), T\( (1, 2) \) do not lie on the x-axis?

(A)

P and R only

(B)

Q and S only

(C)

P, R and T

(D)

Q, S and T

Question.  23

The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is

(A)

\( (0, 5) \)

(B)

\( (5, 0) \)

(C)

\( (0, -5) \)

(D)

\( (-5, 0) \)

Question.  24

The perpendicular distance of the point P \( (3, 4) \) from the y-axis is

(A)

3

(B)

4

(C)

5

(D)

7

NCERT Exemplar Solutions Class 9 – Mathematics – CHAPTER 3: COORDINATE GEOMETRY – Exercise 3.1 - Multiple Choice Questions | Detailed Answers