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