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Circle question

2022 · 27 Jul · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Circle
2022 · 27 Jul · Shift 1 · Q37

Circle question

2022 · 27 Jul · Shift 1 · Q37

JEE MainMathematicsCircleMCQ+4 / −1

If the circle

x^{2}+y^{2}-2 g x+6 y-19 c=0, g, c \in \mathbb{R}

passes through the point

(6,1)

and its centre lies on the line

x-2 c y=8

, then the length of intercept made by the circle on

x

-axis is :

A
$\sqrt{11}$
B
4
C
3
D
$2 \sqrt{23}$

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