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Worksheets

Co-ordinate Geometry

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Find the distance of the point (–6, 8) from the origin.

a)

8

b)

11

c)

10

d)

9

2.

Two of the vertices of a triangle ABC are given by A(6, 4) and B(–2, 2) and its centroid is G(3, 4). Find the coordinates of the third vertex C of the ΔABC.

a)

(2,3)

b)

(4,6)

c)

(4,3)

d)

(5,6)

3.

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

a)

2

b)

3

c)

1

d)

5

4.

The distance between the point P(1, 4) and Q(4, 0) is

a)

4

b)

5

c)

6

d)

3√3

5.

The distance of the point (α, β) from the origin is

a)

(a) α + β

b)

(b) α² + β²

c)

(c) |α| + |β|

d)

Root of α² + β²

6.

The distance between A (a + b, a – b) and B(a – b, -a – b) is

a)
b)

a2 + b2

c)

a2 - b2

d)

Root of a2 + b2

7.

If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is

a)

12

b)

- 6

c)

- 12

d)

- 4

8.

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

a)

(a) -7 or -1

b)

(b) -7 or 1

c)

(c) 7 or 1

d)

(d) 7 or -1

9.

The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is

a)

(a) (4, 6)

b)

(b) (16, 6)

c)

(c) (8, 6)

d)

(d) (16/3, 6)

10.

If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then

a)

2a = b

b)

a = -b

c)

a = 2b

d)

a = b