Q11 of 23 Page 322

The co-ordinates of end point s of a diameter of a circle are (7, 9) and (–1, –3). The co-ordinates of centre of circle is

Since, centre of circle will be the mid-point of diameter.

And, we know mid-point formula, i.e. the coordinates of mid-point of line joining (x1, y1) and (x2, y2) is




⇒x = 3 and y = 3

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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

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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