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Equation of line in Straight lines

Question

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=________.

Moderate
Solution

For PR + RQ to be minimum, it should be the path of light.
 

 PRA=QRM
From similar triangles PAR and QMR,
ARRM=PAQM or  α+30α=41 or α=35



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