Q1 of 149 Page 14

Find the coordinates of the point which divides the line segment joining (- 1, 3) and (4, -7) internally in the ratio 3 : 4.

Let our points be A(-1, 3) and B(4, -7) and required point be C( x, y)



Given that point divides internally in ratio of 3:4.


By section formula,


x = , y =


Here, m = 3 and n = 4


∴ x = , y =


∴ x= , y =


∴ x = , y =


Hence, the required point is C( , )


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If the point P (k -1, 2) is equidistant from the points A (3, k) and B (k,5), find the value of k.

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Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and (1, 2) meet.