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Q.

A line l  meets the circle x2+y2=61  in A and B and P(-5,6)  is such that PA=PB=10  the equation of l  is

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a

5x+6y+11=0

b

5x-6y-11=0

c

5x-6y+11=0

d

5x-6y+12=0

answer is C.

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Detailed Solution

P(−5,6)  lies on x2+y2=61→(1)PA=PB=10Equation of circle with centre P & radius 10 is x2+y2+10x−12y−39=0AB¯  is the radical axis of circle (1)&(2)⇒5x−6y+11=0
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