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Let A(3,-4), B(1,2) and P(2k-1,2k+1) is a variable point such that PA + PB IS MINIMUM then k=

Let A(3,-4), B(1,2) and P(2k-1,2k+1) is a variable point such that PA + PB IS MINIMUM then k=

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4 Answers

ng29
1698 Points
7 years ago
what is problem in dis questions
just find distances and sum them now u will get equation in k , 
consider it as function of k and u have to find its min value
differentiate it wrt ot k and put equal to 0 u will get value of k
 
approve if useful
Aditya Sharma
38 Points
7 years ago
That I know, but it takes too much time if you have any short method please tell me....
ng29
1698 Points
7 years ago
ok there is another metod to approach this question
P will be mid point of A and B then PA + PB will be minimum
and hence by using mid point formula u will get value of k
approve if useful
Rakshit Bhakoo
24 Points
4 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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