Q42 of 77 Page 7


The centre of a circle is (-6, 4). If the diameter of the circle has its oneend at the origin. Find its other end.

(-12, 8)

SOLUTION:

Mid-point of the diameter is the centre of the circle. If one end of the diameter is the origin let the other end be (x, y).

We know that the midpoint of a line segment AB with A(x, y) and B(u, v) is .

⇒ Centre of the circle
Comparing we get, x = -12 and y = 8.
∴ The other end of the diameter is (-12, 8).

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