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Q.

A man starts from the point P−3,4 and reaches the point Q0,1touching the x-axis at Rα,0 such that PR+PQ is minimum. Then α=

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Detailed Solution

For PR=RQ to be minimum, it should be the path of light.∴   ∠PRA=∠QRMFrom similar triangle PAR and QMR,ARRM=PAQMor α+30−α=41or α=−35
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A man starts from the point P−3,4 and reaches the point Q0,1touching the x-axis at Rα,0 such that PR+PQ is minimum. Then α=