1.

In the circle centred at O, the tangents at A and B intersect at P. Prove the following:(i)the point P is equidistant from A and B(ii)the line OP bisects the line AB and the angle APB(iii)if the line OP cuts the line AB at Q, then OQ × OP = r2, where r is the radius of the circle

Answer»

In the circle centred at O, the tangents at A and B intersect at P. Prove the following:



(i)



the point P is equidistant from A and B



(ii)



the line OP bisects the line AB and the angle APB



(iii)



if the line OP cuts the line AB at Q, then OQ × OP = r2, where r is the radius of the circle



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