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Q.

 Consider the circle x2+y24x2y+c=0 whose centre is A(2,1). If the point P(10,7) is such that the line segment  PA meets the circle in Q with PQ=5  then c is equal to 

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a

-15

b

20

c

30

d

-20

answer is D.

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Detailed Solution

x2+y24x2y+c=0  Centar A(2,1)
Question Image
AQ=APPQ=105=5Q= midpoint of AP=(6,4)Q(6,4) Lies on circle 36+16248+c=0c=20

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