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A man starts from the point P(-3 ,4) and reaches the point Q (0, 1) touching the x-axis at R(α,0) such that PR + RQ is minimum. Then α=________.

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answer is -0.6.

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Detailed Solution

For PR + RQ to be minimum, it should be the path of light. ∴ ∠PRA=∠QRMFrom similar triangles PAR and QMR,ARRM=PAQM or α+30−α=41 or α=−35

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A man starts from the point P(-3 ,4) and reaches the point Q (0, 1) touching the x-axis at R(α,0) such that PR + RQ is minimum. Then α=________.