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Circle question

2023 · 6 Apr · Shift 1 · Q41

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JEE Main
Mathematics
Circle
2023 · 6 Apr · Shift 1 · Q41

Circle question

2023 · 6 Apr · Shift 1 · Q41

JEE MainMathematicsCircleNumerical+4 / −1

A circle passing through the point

P(\alpha, \beta)

in the first quadrant touches the two coordinate axes at the points

A

and

B

. The point

P

is above the line

A B

. The point

Q

on the line segment

A B

is the foot of perpendicular from

P

on

A B

. If

P Q

is equal to 11 units, then the value of

\alpha \beta

is

\underline{\hspace{2cm}}

.

Numerical answer

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