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Circle question

2023 · 8 Apr · Shift 1 · Q46

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JEE Main
Mathematics
Circle
2023 · 8 Apr · Shift 1 · Q46

Circle question

2023 · 8 Apr · Shift 1 · Q46

JEE MainMathematicsCircleNumerical+4 / −1

Consider a circle

C_{1}: x^{2}+y^{2}-4 x-2 y=\alpha-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

\alpha+r

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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