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Circle question

2024 · 27 Jan · Shift 2 · Q58

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 27 Jan · Shift 2 · Q58

Circle question

2024 · 27 Jan · Shift 2 · Q58

JEE MainMathematicsCircleNumerical+4 / −1

Consider a circle

(x-\alpha)^2+(y-\beta)^2=50

, where

\alpha, \beta\gt 0

. If the circle touches the line

y+x=0

at the point

P

, whose distance from the origin is

4 \sqrt{2}

, then

(\alpha+\beta)^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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