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Question

If the point P(x,y) is equdistant from point A(a+b,ba)&B(ab,a+b). Prove thatbxay.
 


    Solution

    The correct option is
    PA=PB(x(a+b))2+(y(ba))2=(x(ab))2+(y(a+b))2x22x(a+b)+(a+b)2+y22y(ba)+(ba)2=x22x(ab)+(ab)(ab)2+y22y(a+b)+(a+b)22x(a+b)2y(ba)=2x(ab)2y(a+b)2x(a+ba+b)2y(baab)=02x(2b)2y(2a)=04bx+4ay=04ay+4bxay=bx

    All India Test Series

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