CLASS-10
BOARD: CBSE
Mathematic Worksheet - 6
TOPIC: Co-ordinate Geometry
For other CBSE Worksheet for class 10 Mathematic check out main page of Entrancei.
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
a) (0, 1)
b) (0,-1 )
c) (0,-1 )
d) (1, 0)
2) The point on the y axis which is equidistant from A(-5,-2) and B(3,2) is
a) (-4, 0)
b) (0, -2)
c) (-2,0)
d) (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
a) (-2, 2) and (5,3)
b) (8,-3) and (-2,1)
c) (8,6) and (3,5)
d) (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
a) 0
b) 2
c) -2
d) 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
a) (6,-2)
b) (9,13)
c) (-2,6 )
d) (13,9)
6) If the point (2,-3) lies on kx2 – 3y2 + 2x +y-2=0 then k, is equal to
a)
b)16
c) 7
d) 12
7) The three points (-2, 2), (8,-2) (-4,-3) are the vertices of
a) An isosceles triangle
b) An equilateral triangle
c) A right angled triangle
d) None of these
Answer Key
1) c
2) b
3) b
4) d
5) b
6) c
7) c
