# ICSE Worksheet for chapter-4 Co-ordinate Geometry class 9

## Find ICSE Worksheet for chapter-4 Co-ordinate Geometry class 9

CLASS-9

BOARD: ICSE

Mathematic Worksheet - 4

TOPIC: Co-ordinate Geometry

For other ICSE Worksheet for class 9 Mathematic check out main page of Physics Wallah.

#### DISTANCE BETWEEN TWO POINTS:

Let two points P(x1, y1) and Q (x2, y2)

Length of the line segment PQ is always non negative on taking the positive square root we get the distance as

PQ = √((x2- x1)2 (y2- y1)2 )

This result is known as distance formula.

OBJECTIVE

1. Find the point P(x,y), if its distance from (-3,0) and (3,0) is 4 units individually
1. (0,√5 )
2. (0,-√5 )
3. (0,- √7)
4. (1,0)
2. The point on the y axis which is equidistant from A(-5,-2) and B(3,2) is
1. (-4,0)
2. (0,-2)
3. (-2,0)
4. (0,-4)
3. If two opposite vertices of a square are (5,4) and (1,-6) then the co-ordinates of its remaining two vertices is
1. (-2,2) and (5,3)
2. (8,-3) and (-2,1)
3. (8,6) and (3,5)
4. (1,-3) and (2,5)
4. If the point (0, 2) is equidistant from the points (3,k) and (k,5) then the value of k is
1. 0
2. 2
3. -2
4. none of these
5. The co-ordinates of one end of a diameter of a circle are (5,-7). If the co-ordinates of the centre be (7, 3) the co ordinates of the other end of the diameter are
1. (6,-2)
2. (9,13)
3. (-2,6 )
4. (13,9)
6. If the point (2,-3) lies on kx2 – 3y2 + 2x +y-2=0 then k, is equal to
1. 24
2. 16
3. 7
4. 12
7. The three points (-2, 2), (8,-2) (-4,-3) are the vertices of
1. An isosceles triangle
2. An equilateral triangle
3. A right angled triangle
4. None of these

1. c
2. b
3. b
4. d
5. b
6. c
7. c