Let P=(1,1) and Q=(3,2). The point R on the x-axis such that PR+RQ is the minimum is

JEE Advanced Mathematics question

Let and . The point R on the -axis such that is the minimum is

(A)Correct
(B)
(C)
(D)none of these

Answer: (A)

Solution

P and Q are on the same side of the -axis. Reflect P in the -axis: . For any R on the axis, , so , with equality when R lies on segment (this is the law of

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Question ID VK-108820