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,the required point P (19/7, 22/7)
Exa:2-Calculate the coordinates of the mid-point of the line segment joining for
(i)(2,6),(4,4)
(ii) (0, -5), (- 4, 7)
Sol. x  x y  y
(i) The required mid-point is, x= 1 2 , y = 1 2
2 2

= = = (3, 5)

x  x y  y
(ii) The required mid-point is, x= 1 2 , y = 1 2
2 2

= = = (-2, 1)
Exa:3-One end of the diameter of a circle is (-3, 2) and centre is origin. Find the
other end.

Soln:

O is the mid-point of AB

so y = -2 .Therefore, other end point is (3, -2)

Exa:4- Find the ratio in which the point (5, 4) divides the line joining points
(2, 1) and (7, 6).
Soln:
Let the required ratio be m 1 : m 2
Take, (2, 1) = (x 1 , y 1 ), (7, 6) = (x 2 , y 2 ) and (5, 4) = (x, y),then

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