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consider the point A[3,4] and B[7,13].if P be a point on line Y=X such that PA+PB is minimum.then coordinates of P are A. [13/7,13/7] B. [23/7,23/7] C. [31/7,31/7] D [33/7,33/7]

consider the point A[3,4] and B[7,13].if P be a point on line Y=X such that PA+PB is minimum.then coordinates of P are
 
A. [13/7,13/7]              B. [23/7,23/7]
C. [31/7,31/7]              D [33/7,33/7]

Grade:12th pass

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
9 years ago
Take P as (x,y)
since p lies on y=x
P → (x,x)
Find PA and PB using distajnce formula.

Let y= PA+ PB
Now find dy/dx
find x for dy/dx=0
check y’‘ for same values of x
the value for which y’‘>0 will be point of minima.

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