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Circle question

2025 · 28 Jan · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Circle
2025 · 28 Jan · Shift 1 · Q42

Circle question

2025 · 28 Jan · Shift 1 · Q42

JEE MainMathematicsCircleMCQ+4 / −1

Let the equation of the circle, which touches

x

-axis at the point

(a, 0), a\gt 0

and cuts off an intercept of length

b

on

y-a x i s

be

x^2+y^2-\alpha x+\beta y+\gamma=0

. If the circle lies below

x-a x i s

, then the ordered pair

\left(2 a, b^2\right)

is equal to

A
$\left(\alpha, \beta^2+4 \gamma\right)$
B
$\left(\alpha, \beta^2-4 \gamma\right)$
C
$\left(\gamma, \beta^2-4 \alpha\right)$
D
$\left(\gamma, \beta^2+4 \alpha\right)$

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