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Questions  

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

a
−52,0
b
52,0
c
53,0
d
−53,0

detailed solution

Correct option is C

Since P and Q lie on the same side of x-axis the image of Q(3,2) about x-axis is Q'3,−2 then the equation of the line PQ1 is y-1=-2-13-1(x-1)⇒3x+2y-5=0 This line meets x -axis at R53,0

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