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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,√5) b) (0,-√5) c) (0,-√7) 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 1 a) 7 b)16 c) 7
7)
d) 12
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
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