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Two circles with centre o and radius r and with centre o' and radius r/2 touch each other internally at a point A and AB is a chord of the bigger circle intersecting smaller circle at P . If o , o' and A lie on a straight line , prove that AP = AB . |
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Answer» CLEARLY o , o' and A lie on a straight line B , P and A lie on a straight line in smaller circle,o'A is diameter angle o'PA=90 ,o'P is perp on AB for bigger circle,lets drop perp OL on AB tr AO'P similar tr AOL therefore,OL is perp on AB & L bisects AB AP=1/4 AB |
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