Free Printable CO.ORDINATE GEOMETRY

1.

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

a)

$\alpha\ +\ \beta$

b)

$\alpha^2\ +\ \beta^2$

c)

$\left|\alpha\right|\ \ +\left|\beta\right|$

d)

$\sqrt{\alpha^2+\ \beta^2}$

2.

The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are

a)

(3, 3)

b)

(-3, 3)

c)

(3, -3)

d)

(-3, -3)

3.

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

a)

$a^2\ +b^2$

b)

$\sqrt{a^2\ +\ b^2}$

c)

$2\sqrt{a^2\ +\ b^2}$

d)

$2\ \left(a^2\ +\ b^2\right)$

4.

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

a)

-7 or -1

b)

-7 or 1

c)

7 or 1

d)

7 or -1

5.

5. The points (1,1), (-2, 7) and (3, -3) are

a)

vertices of an equilateral triangle

b)

collinear

c)

vertices of an isosceles triangle

d)

none of these

6.

6. A triangle with vertices (4, 0), (- 1, – 1) and (3, 5) is a/an

a)

equilateral triangle

b)

right-angled triangle

c)

isosceles right-angled triangle

d)

none of these

7.

7. If the distance between the points(4, p) and (1, 0) is 5 units, then the value of p is

a)

4 only

b)

$\pm4$

c)

-4 only

d)

0

8.

$8.Ifp\ \ \left(\ \frac{a}{3\ },\ 4\ \right)is\ the\ mid-point\ ofthe\ line\ segment\ joining\ the\ points\ Q(-6,5)\ and\ R(-2,3),then\ the\ value\ ofa\ \ is$

a)

-4

b)

-12

c)

12

d)

6

9.

9. If P(l, 2), Q(4, 6), R(5, 7) and S(a, b) are the vertices of a parallelogram PQRS, then

a)

a = 2,b = 2

b)

a = 3,b = 4

c)

a = 2, b = 3

d)

a = 3, b = 5

10.

10.Find 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).

a)

3 ,-10

b)

-3 ,10

c)

3 ,10

d)

-3 ,-10

CO.ORDINATE GEOMETRY

Total questions: 10

Worksheet time: 19mins

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