Questions & Answers: "Coordinate Geometry"

Complete guide to "Coordinate Geometry" for Math students. Below you will find important questions and model answers to help you prepare.

25 Questions

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Question 1

1 Mark

The points (other than origin) for which abscissa is equal to the ordinate will lie in

Options

Option A

I quadrant only

Option B

I and II quadrants

Option C is correct

I and III quadrants

Option D

II and IV quadrants

Question 2

1 Mark

Point (–3, 5) lies in the

Options

Option A

first quadrant

Option B is correct

second quadrant

Option C

third quadrant

Option D

fourth quadrant

Question 3

1 Mark

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

Options

Option A

+, +

Option B

–, –

Option C is correct

–, +

Option D

+, –

Question 4

1 Mark

Point (0, –7) lies

Options

Option A

on the x –axis

Option B

in the second quadrant

Option C is correct

on the y-axis

Option D

in the fourth quadrant

Question 5

1 Mark

Point (– 10, 0) lies

Options

Option A is correct

on the negative direction of the x-axis

Option B

on the negative direction of the y-axis

Option C

in the third quadrant

Option D

in the fourth quadrant

Question 6

1 Mark

Abscissa of all the points on the x-axis is

Options

Option A

0

Option B

1

Option C

2

Option D is correct

any number

Question 7

1 Mark

Ordinate of all points on the x-axis is

Options

Option A is correct

Zero

Option B

1

Option C

-1

Option D

any number

Question 8

1 Mark

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

Options

Option A

abscissa

Option B

ordinate

Option C is correct

origin

Option D

quadrant

Question 9

1 Mark

A point both of whose coordinates are negative will lie in

Options

Option A

I quadrant

Option B

II quadrant

Option C is correct

III quadrant

Option D

IV quadrant

Question 10

1 Mark

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)

Options

Option A

lie in II quadrant

Option B

lie in III quadrant

Option C

lie in IV quadrant

Option D is correct

do not lie in the same quadrant

Question 11

1 Mark

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

Options

Option A

in I quadrant

Option B

in II quadrant

Option C is correct

on x - axis

Option D

on y - axis

Question 12

1 Mark

The points (–5, 2) and (2, – 5) lie in the

Options

Option A

same quadrant

Option B

II and III quadrants, respectively

Option C is correct

II and IV quadrants, respectively

Option D

IV and II quadrants, respectively

Question 13

1 Mark

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

Options

Option A

x coordinate = – 5

Option B

y coordinate = 5 only

Option C

y coordinate = – 5 only

Option D is correct

y coordinate = 5 or –5

Question 14

1 Mark

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?

Options

Option A

Square

Option B is correct

Rectangle

Option C

Trapezium

Option D

Rhombus

Question 15

1 Mark

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

Options

Option A

P and T

Option B is correct

Q and R

Option C

Only S

Option D

P and R

Question 16

1 Mark

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

Options

Option A

–5

Option B is correct

1

Option C

-1

Option D

-2

Question 17

1 Mark

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

Options

Option A

P and R

Option B

R and S

Option C

Only Q

Option D is correct

Q and O

Question 18

1 Mark

Abscissa of a point is positive in

Options

Option A

I and II quadrants

Option B is correct

I and IV quadrants

Option C

I quadrant only

Option D

II quadrant only

Question 19

1 Mark

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

Options

Option A

I and II quadrants

Option B

II and III quadrants

Option C

I and III quadrants

Option D is correct

II and IV quadrants

Question 20

1 Mark

In the following figure, coordinates of P are

Diagram for Question 20

Options

Option A

(–4, 2)

Option B is correct

(–2, 4)

Option C

(4, –2)

Option D

(2, –4)

Question 21

1 Mark

In the following figure, the point identified by the coordinates (–5, 3) is

Diagram for Question 21

Options

Option A

T

Option B

R

Option C is correct

L

Option D

S

Question 22

1 Mark

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

Options

Option A

(4, 0)

Option B is correct

(0, 4)

Option C

(1, 4)

Option D

(4, 2)

Question 23

1 Mark

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?

Options

Option A

P and R only

Option B

Q and S only

Option C is correct

P, R and T

Option D

Q, S and T

Question 24

1 Mark

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

Options

Option A

(0, 5)

Option B

(5, 0)

Option C is correct

(0, –5)

Option D

(–5, 0)

Question 25

1 Mark

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

Options

Option A is correct

3

Option B

4

Option C

5

Option D

7