Class 9 Quiz Level 1 (Easy) – Coordinate Geometry

Total questions: 30

If P(−1,1) is the midpoint of the line segment joining A(−3, b) and B(1, b+4), then b is equal to:

Topic: Midpoint Formula

Deselect Answer

-1

-2

None

If point P(2,4) is equidistant from the points A(5,K) and B(K,7), then find the value of K.

Topic: Equidistant Points

Deselect Answer

K = 3

K = 4

K = 10

K = 8

None

√2 times the distance between (0, 5) and (–5, 0) is _______.

Topic: Distance Formula

Deselect Answer

40 units

30 units

10 units

20 units

None

Points A(3, 1), B(5, 1), C(a, b) and D(4, 3) are vertices of a parallelogram ABCD. then the values of a and b.

Topic: Vertices of a Parallelogram

Deselect Answer

a = 6, b = 9

a = 6, b = 3

a = 8, b = 3

None of these

None

Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.

Topic: Collinearity of Points

Deselect Answer

Yes

Cannot be determined

Incomplete information

None

If (a, b) is the mid-point of the line segment joining the points A(10, –6) and B(k, 4) and a–2b=18, the value of k is

Topic: Midpoint Formula and Linear Equations

Deselect Answer

None

The area of triangle ABC (in sq. units) is :

Topic: Area of a Triangle

Deselect Answer

3.5 sq units

6.5 sq units

8.5 sq units

7.5 sq units

None

If the points A(4,3) and B(x,5) lie on a circle with centre O(2,3), find the value of x.

Topic: Distance Formula

Deselect Answer

None

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1m from each other along AD, as shown Â in Fig. Niharika runs $\displaystyle \dfrac{1}{4}$ A^th the Â distance AD on the 2nd line and Â posts a green flag. Preet runs $\displaystyle \dfrac{1}{5}$A^th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag? Â

Topic: Distance Formula and Midpoint Theorem

Deselect Answer

12.2 m from C

22.5 m from A

28.7 m from A

25.3 m from B

None

10.

For what values of k are the points (8,1),(3,−2k) and (k,−5) collinear ?

Topic: Collinearity of Points

Deselect Answer

k = 2, $\displaystyle \dfrac{{11}}{2}$

k = 2, $\displaystyle \dfrac{{15}}{2}$

k = 2, $\displaystyle \dfrac{{11}}{4}$

All of these

None

11.

Distance between (a, −b) and (a,b) is:

Topic: Distance Formula

Deselect Answer

5b units

6b units

2b units

10b units

None

12.

Find the distance between the points (0 , 0) and (36 , 15) .

Topic: Midpoint Formula

Deselect Answer

d = 39

d = 47

d = 93

d = 85

None

13.

If the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram, taken in order, find the value of p.

Topic: Properties of Parallelogram

Deselect Answer

p = 6

p = 7

p = 9

p = 8

None

14.

The distance of the point (−12,5) from the origin is

Topic: Distance Formula

Deselect Answer

None

15.

Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2,−2) and B(−7,4).

Topic: Section Formula

Deselect Answer

(−6,0) and (−8,2).

(−2,0) and (−4,1).

(−1,0) and (−4,2).

None of these

None

16.

The area of triangle formed with the origin and the points (4,0) and (0,6) is

Topic: Area of a Triangle Using Coordinates

Deselect Answer

12 sq units

20 sq units

16 sq units

18 sq units

None

17.

The value(s) of x, if the distance between the points A(0, 0) and B(x, – 4) is 5 units.

Topic: Distance Formula

Deselect Answer

4 and -7

3 and -8

3 and -3

5 and -3

None

18.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0,−1),(2,1) and (0,3). Find the ratio of this area to the area of the given triangle.

Topic: Area of a Triangle

Deselect Answer

2 : 2

1 : 5

2 : 4

1 : 4

None

19.

Find the ratio in which the y-axis divides the line segment joining the points (5,−6) and (−1,−4). Also find the point of intersection.

Topic: Section Formula

Deselect Answer

5 : 8 point of intersection as $\displaystyle \left( {0,\dfrac{{-13}}{8}} \right)$

6 : 1 point of intersection as $\displaystyle \left( {0,\dfrac{{-18}}{3}} \right)$

None of these

5 : 1 point of intersection as $\displaystyle \left( {0,\dfrac{{-13}}{3}} \right)$

None

20.

If the point P (6, 2) divides the line segment joining A(6, 5) and B(4, y) in the ratio 3 : 1, then the value of y is

Topic: Section Formula

Deselect Answer

None

21.

Point A lies on the line segment PQ joining P(6,−6) and Q(−4,−1) in such a way that $\displaystyle \dfrac{{PA}}{{PQ}}$ =$\displaystyle \dfrac{2}{5}$ . If point P also lies on the line 3x+k(y+1)=0, then the value of k.

Topic: Section Formula and Equation of Line

Deselect Answer

k = 20/3

k = 58/8

k = 18/5

None of these

None

22.

If the mid-points of the sides of a triangle are (1,5,−1),(0,4,−2) and (2,3,4). then its vertices.

Topic: Vertices of Triangle from Midpoints

Deselect Answer

(1,2,3),(3,4,5),(−1,8,−7)

(1,2,3),(3,4,5),(−1,6,−7)

(4,2,3),(6,4,5),(−3,7,−7)

All of these

None

23.

Find the area of the triangle formed by the points P(−1.5,3),Q(6,−2) and R(−3,4).

Topic: Area of a Triangle Using Vertices

Deselect Answer

None

24.

The distance of a point P(x, y) from the origin.

Topic: Distance Formula

Deselect Answer

$\displaystyle \sqrt{{{{x}^{2}}+{{x}^{2}}}}$

$\displaystyle \sqrt{{{{x}^{2}}+{{y}^{2}}}}$

$\displaystyle \sqrt{{{{y}^{2}}+{{y}^{2}}}}$

None of these

None

25.

Find the coordinates of the point which divides the line segment joining the points (4,−3) and (8,5) in the ratio 3:1 internally.

Topic: Section Formula

Deselect Answer

(7,8)

(4,3)

(7,3)

(8,8)

None

26.

The point P on x-axis equidistant from the points A(–1, 0) and B(5, 0) is

Topic: Finding Equidistant Points

Deselect Answer

(2,0)

(0,2)

(3,0)

(3,2)

None

27.

The coordinates of a point A, where AB is diameter of a circle whose centre is (2,−3) and B is the point (1,4).

Topic: Midpoint Formula and Circle Properties

Deselect Answer

(3, -10)

(3, -60)

(8, -10)

None of these

None

28.

The distance of the point P(−6,8) from the origin is

Topic: Distance Formula

Deselect Answer

8 units

2√7 units

10 units

6 units

None

29.

Find the area of a triangle formed by the points A(5,2),B(4,7) and C(7,−4)

Topic: Area of a Triangle Using Vertices

Deselect Answer

9 sq. units

2 sq. units

4 sq. units

8 sq. units

None

30.

The co-ordinates of the point which is reflection of point (–3, 5) in x-axis are

Topic: Reflection of a Point

Deselect Answer

(−3,−5)

(3,−5)

(3,5)

(−3,5)

None

1 out of 30

Time's up

Class 9 Quiz Level 1 (Easy) – Coordinate Geometry

Welcome back