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Questions  

 Let A(3,4),B(1,2) . Let P(2k1,2k+1) be a variable point such that PA + PB is the minimum. Then kis

a
79
b
0
c
78
d
9

detailed solution

Correct option is C

PA+PB is minimum only when A,B,P are collinear  If three points are collinear then the slopes of the lines joining any two points is same   PA slope is 2k+52k-4 and AB slope is 6-2 Equate the slopes and then solve for k  2k+52k-4=-3 2k+5=-6k+12 8k=7 k=78

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