Mastering Class 10 Coordinate Geometry: Comprehensive Practice Quiz for CBSE Boards 2024-25

Question 1

The distance of the point $P(3, -4)$ from the origin is:

Accepted Answer

5 units

Answer

3 units

Answer

4 units

Answer

7 units

Question 2

The distance between the points $A(0, 6)$ and $B(0, -2)$ is:

Accepted Answer

8 units

Answer

6 units

Answer

4 units

Answer

2 units

Question 3

If the distance between the points $(x, -1)$ and $(3, 2)$ is 5, then the value of $x$ is:

Accepted Answer

7 or -1

Answer

-7 or 1

Answer

7 or 1

Answer

-7 or -1

Question 4

The point on the x-axis which is equidistant from $(-1, 0)$ and $(5, 0)$ is:

Accepted Answer

$(2, 0)$

Answer

$(0, 2)$

Answer

$(3, 0)$

Answer

$(0, 3)$

Question 5

The coordinates of the midpoint of the line segment joining the points $P(2, 3)$ and $Q(4, 1)$ are:

Accepted Answer

$(3, 2)$

Answer

$(2, 3)$

Answer

$(3, 3)$

Answer

$(2, 2)$

Question 6

The distance of the point $P(2, 3)$ from the x-axis is:

Accepted Answer

3 units

Answer

2 units

Answer

1 unit

Answer

5 units

Question 7

The distance of the point $P(-6, 8)$ from the y-axis is:

Accepted Answer

6 units

Answer

8 units

Answer

-6 units

Answer

10 units

Question 8

If the distance between $(4, p)$ and $(1, 0)$ is 5, then $p$ is:

Accepted Answer

$\pm 4$

Answer

4 only

Answer

$-4$ only

Answer

0

Question 9

A circle drawn with origin as the centre passes through $(13/2, 0)$. The point which does not lie in the interior of the circle is:

Accepted Answer

$(-6, 5/2)$

Answer

$(-3/4, 1)$

Answer

$(2, 7/3)$

Answer

$(5, -1/2)$

Question 10

If $(a/3, 4)$ is the midpoint of the segment joining $P(-6, 5)$ and $R(-2, 3)$, then the value of 'a' is:

Accepted Answer

-12

Answer

-4

Answer

12

Answer

-6

Question 11

The ratio in which the point $P(m, 6)$ divides the join of $A(-4, 3)$ and $B(2, 8)$ is:

Accepted Answer

$3:2$

Answer

$2:3$

Answer

$3:5$

Answer

$2:5$

Question 12

If $P(1, 2)$, $Q(4, 6)$, $R(5, 7)$ and $S(a, b)$ are the vertices of a parallelogram $PQRS$, then:

Accepted Answer

$a=2, b=3$

Answer

$a=2, b=4$

Answer

$a=3, b=4$

Answer

$a=3, b=3$

Question 13

The point which divides the line segment joining the points $(8, -9)$ and $(2, 3)$ in the ratio $1:2$ internally lies in the:

Accepted Answer

IV quadrant

Answer

I quadrant

Answer

II quadrant

Answer

III quadrant

Question 14

If $A(m/3, 5)$ is the midpoint of the line segment joining the points $Q(-6, 7)$ and $R(-2, 3)$, then the value of $m$ is:

Accepted Answer

-12

Answer

-4

Answer

12

Answer

-6

Question 15

The point $P$ on x-axis is equidistant from $A(-1, 0)$ and $B(5, 0)$. Then coordinates of $P$ are:

Accepted Answer

$(2, 0)$

Answer

$(0, 2)$

Answer

$(3, 0)$

Answer

$(2, 2)$

Question 16

The ratio in which the x-axis divides the line segment joining $A(3, 6)$ and $B(12, -3)$ is:

Accepted Answer

$2:1$

Answer

$1:2$

Answer

$-2:1$

Answer

$1:-2$

Question 17

The ratio in which the y-axis divides the line segment joining $A(-4, 3)$ and $B(2, 5)$ is:

Accepted Answer

$2:1$

Answer

$1:2$

Answer

$3:1$

Answer

$1:3$

Question 18

If the point $P(2, 1)$ lies on the line segment joining $A(4, 2)$ and $B(8, 4)$, then:

Accepted Answer

$AP = 1/2 AB$

Answer

$AP = 1/3 AB$

Answer

$AP = PB$

Answer

$PB = 1/3 AB$

Question 19

The coordinates of the point which is equidistant from the three vertices of the $	riangle AOB$ as shown in the figure (where $O$ is origin, $A$ is on x-axis at $(2a, 0)$ and $B$ is on y-axis at $(0, 2b)$) is:

Accepted Answer

$(a, b)$

Answer

$(b, a)$

Answer

$(a/2, b/2)$

Answer

$(2a, 2b)$

Question 20

The fourth vertex $D$ of a parallelogram $ABCD$ whose three vertices are $A(-2, 3), B(6, 7)$ and $C(8, 3)$ is:

Accepted Answer

$(0, -1)$

Answer

$(0, 1)$

Answer

$(-1, 0)$

Answer

$(1, 0)$

Question 21

If the points $A(1, 2), O(0, 0)$ and $C(a, b)$ are collinear, then:

Accepted Answer

$2a = b$

Answer

$a = b$

Answer

$a = 2b$

Answer

$a = -b$

Question 22

The perimeter of a triangle with vertices $(0, 4), (0, 0)$ and $(3, 0)$ is:

Accepted Answer

12 units

Answer

5 units

Answer

11 units

Answer

$7 + \sqrt{5}$ units

Question 23

If $P(a/3, b/2)$ is the midpoint of the line segment joining $A(-4, 3)$ and $B(-2, 4)$, then $(a, b)$ is:

Accepted Answer

$(-9, 7)$

Answer

$(-4, 7)$

Answer

$(9, -7)$

Answer

$(4, -7)$

Question 24

The distance between $A(c, 0)$ and $B(0, -c)$ is:

Accepted Answer

$\sqrt{2}c$

Answer

$c$

Answer

$2c$

Answer

$c/2$

Question 25

If the point $C(k, 4)$ divides the join of $A(2, 6)$ and $B(5, 1)$ in the ratio $2:3$, then $k$ is:

Accepted Answer

16/5

Answer

16

Answer

28/5

Answer

8/5

Question 26

A point $P$ divides the join of $A(2, 1)$ and $B(5, -8)$ such that $AP/AB = 1/3$. If $P$ lies on the line $2x - y + k = 0$, the value of $k$ is:

Accepted Answer

-8

Answer

8

Answer

-4

Answer

4

Question 27

The points $(1, 1), (-2, 7)$ and $(3, -3)$ are:

Accepted Answer

Collinear

Answer

Vertices of an isosceles triangle

Answer

Vertices of a right triangle

Answer

None of these

Question 28

If $(x, y)$ is equidistant from $(a+b, b-a)$ and $(a-b, a+b)$, then:

Accepted Answer

$bx = ay$

Answer

$ax = by$

Answer

$x^2 + y^2 = a^2 + b^2$

Answer

$x+y = a+b$

Question 29

The ratio in which the line $2x + 3y - 5 = 0$ divides the line segment joining $A(8, -9)$ and $B(2, 1)$ is:

Accepted Answer

$8:9$

Answer

$8:1$

Answer

$1:9$

Answer

$4:9$

Question 30

The area of a square whose vertices are $(0, -1), (2, 1), (0, 3)$ and $(-2, 1)$ is:

Accepted Answer

8 sq units

Answer

2 sq units

Answer

4 sq units

Answer

16 sq units

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Mastering Class 10 Coordinate Geometry: Comprehensive Practice Quiz for CBSE Boards 2024-25

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