Consider a circle C1 : x 2+y2 – 4x – 2y = α – 5. Let its mirror image in the line y=2x+1 be another circle C2:5x2+5y2 –10fx – 10gy+ 36 = 0. Let r be the radius of C2 . Then α+ r is equal to ________

Question

Consider a circle

C_{1} : x^{2} + y^{2} - 4 x - 2 y = α - 5 .

Let its mirror image in the line

y = 2 x + 1

be another circle

C_{2} : 5 x^{2} + 5 y^{2} - 10 f x - 10 g y + 36 = 0 .

Let

r

be the radius of

C_{2}

. Then

α + r

is equal to

________

Correct Answer

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