Q18 of 38 Page 730

If ( - 1, 3) and (∝, β) are the extremities of the diameter of the circle x2 + y2 – 6x + 5y – 7 = 0, find the coordinates (∝, β).

Given x2 + y2 – 6x + 5y – 7 = 0


Centre( 3, )


As ( - 1, 3) & (∝, β) are the 2 extremities of the diameter, using mid - point formula we can write




and



(∝, β) = (7, - 8)


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