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magiclko (4205)

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Olaaa!! Perrrfect answer. 745  bad job dude!! I dont approve of this answer! 2  [989 rates]

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see the attached file,
APB = sqrrt (a2 + x2) + sqrrt (b2 + (c-x)2 )
for APB be to be minimum, the first derivative of the above expression = 0
differentitating it wrt x, nd then equating it to 0, we have
 
x sqrrt (b2 + (c-x)2 ) =- (c-x) sqrrt (a2 + x2)
solving the above, finally we'll have
        b2 / (c-x)2 = a2 / x2
 =>              x  = ac/ (a+b)


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