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  • A road is in the from of the parabola y^2=2x and a transmission tower is located at (5,0) . The minimum Distance of this tower from the road is

A road is in the from of the parabola y^2=2x and a transmission tower is located at (5,0) . The minimum Distance of this tower from the road is

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Solution:   d=PT

                  d=PT=sqrt(x-5)^2+2x

                 d=PT=sqrt(x-4)^2+9

            This d is minimum for x=4

            Moreover ,        d_min  at x=4 is equal to 3

Posted by

Deependra Verma

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