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Circle question

2022 · 29 Jul · Shift 1 · Q47

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JEE Main
Mathematics
Circle
2022 · 29 Jul · Shift 1 · Q47

Circle question

2022 · 29 Jul · Shift 1 · Q47

JEE MainMathematicsCircleNumerical+4 / −1

Let the mirror image of a circle

c_{1}: x^{2}+y^{2}-2 x-6 y+\alpha=0

in line

y=x+1

be

c_{2}: 5 x^{2}+5 y^{2}+10 g x+10 f y+38=0

. If

\mathrm{r}

is the radius of circle

\mathrm{c}_{2}

, then

\alpha+6 \mathrm{r}^{2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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