Consider the points A (4, 3) and B (7, 13). If ‘P’ be a point on the line y = x such that PA + PB is minimum, then co-ordinates of ‘P’ is

Answers (1)

Given: PA+PB is minimum 

So, AB must be a straight line

Apply straight line equation, we get

(y-3)=frac13-37-4	imes(x-4)

(3y-9)=(10x-40)

At Point P      x=y

(3x-9)=(10x-40)

7x=31

x=frac317;y=frac317

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