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Rahul Ramesh Grade:
        

 consider the points A=(0,1) and B=(2,0).let P be a point on the line 4x+3y+9=0.find the coordinate of P such that |PA-PB| is maximum 

6 years ago

Answers : (1)

Puneet Mittal AskiitiansExpert-IITD
22 Points
										

Hi Rahul,


You can calculate the coordinate of P by following the below approach :


let P be (h,k)


PA = root(h2 + (k - 1)2)


PB = root((h - 2)2  + k2)


let S = |PA-PB| = root(h2 + (k - 1)2)  -  root((h - 2)2  + k2)      ---- eqn (1)


Since P lies on given line therefore , 4h + 3k + 9 = 0


Put k from this eqn into eqn(1)


and differentiate S w.r.t to h


S will be maximum when dS/dh = 0 and d2S/dh2 < 0.


Thus u will get vaule of h.


Please feel free to ask as mnay questions you have.


Puneet

6 years ago
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