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Q.

If (x, y) satisfies the equation (x+5)2+(y−12)2=196 then minimum value of x2+y2 is

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a

0

b

-1

c

1

d

-2

answer is C.

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Detailed Solution

Let  x+15=14cosθ, y-12=14sinθ ⇒(x+5)2+(y−12)2=(14)2Now         x=−5+14cosθand          y=12+14sinθ⇒          x2+y2=365+28(12sinθ−5cosθ)∴      min=365−28×13=1
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