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

Worksheet For 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.

SUMMARY

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

Solutions: to worksheet-4 Topic-Co-ordinate Geometry 

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

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