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Circle question

2024 · 9 Apr · Shift 1 · Q40

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 9 Apr · Shift 1 · Q40

Circle question

2024 · 9 Apr · Shift 1 · Q40

JEE MainMathematicsCircleMCQ+4 / −1

Let a circle passing through

(2,0)

have its centre at the point

(\mathrm{h}, \mathrm{k})

. Let

(x_{\mathrm{c}}, y_{\mathrm{c}})

be the point of intersection of the lines

3 x+5 y=1

and

(2+\mathrm{c}) x+5 \mathrm{c}^2 y=1

. If

\mathrm{h}=\lim_{\mathrm{c} \rightarrow 1} x_{\mathrm{c}}

and

\mathrm{k}=\lim_{\mathrm{c} \rightarrow 1} y_{\mathrm{c}}

, then the equation of the circle is :

A
$5 x^2+5 y^2-4 x-2 y-12=0$
B
$25 x^2+25 y^2-20 x+2 y-60=0$
C
$25 x^2+25 y^2-2 x+2 y-60=0$
D
$5 x^2+5 y^2-4 x+2 y-12=0$

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