Q11 of 23 Page 322

A point which divides the line segment joining two point s (2, –5) and (–3, –2) externally in the ratio 4: 3. The ordinate of point is

Let the co-ordinates of the point which divides the line segment be (x, y) –

We know, ordinate is y – coordinate of any point .


And, we know, By section formula




⇒ y = 7

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If the point s P(1, 2), Q(4, 6), R(5, 7) and S(x, y) are the vertices of a parallelogram PQRS, then

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C is the centre of a circle and AB is the diameter; the co-ordinates of A and C are (6, –7) and (5, –2). Let us calculate the co-ordinates of B.