Two towns A and B are situated on the sa...

Two towns A and B are situated on the same side of a straight road at distances a and brespectively perpendiculars drawn from A and B meet the road at point C and D respectively.The distance between C and D is c. A hospital is to be built at a point P on the road such thatthe distance APB is minimum. Find position of P.

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The correct Answer is:

P is distance of `(ac)/(a+b)` from C.

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