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A man starts from the point P(-3,4) and reaches point Q(0,1) touching x axis at R such that PR+RQ is minimum, then point R is : ???

A man starts from the point P(-3,4) and reaches point Q(0,1) touching x axis at R such that PR+RQ is minimum, then point R is : ???

Grade:11

2 Answers

Leela Lochan
42 Points
4 years ago
Assume the point to be (x,0).Using distance formulae calculate the distance.Then we get. PR=[(x+3)^2+4^2]^1/2 and RQ=[x^2+1]^1/2 .Now add PR and RQ .let RQ+PR=Y.now differentiate the eq and equate it to zero.and solve for x. Ans is (-4,0)
Gosula Madhukar
84 Points
4 years ago
It can be any point,because for any point on x-axis the sum of the distance is same as that of PQ.
i hope u are satisfied.
plese post if u r any further doubts.

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