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If A (-3,4), B (1,2) and P(2k-1,2k+1) is a variable point such that PA+PB is minimum, then find the value of k. [Answer is 7/8]

If A (-3,4), B (1,2) and P(2k-1,2k+1) is a variable point such that PA+PB is minimum, then find the value of k.
[Answer is 7/8]

Grade:10

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
2 years ago

When P lies on AB the distance will be minimum.
Form an equation of line AB and satisfy point P on it.
The resulting value of k will be the answer

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