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Circle question

2024 · 1 Feb · Shift 1 · Q48

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PYQ Library
JEE Main
Mathematics
Circle
2024 · 1 Feb · Shift 1 · Q48

Circle question

2024 · 1 Feb · Shift 1 · Q48

JEE MainMathematicsCircleMCQ+4 / −1

Let

C: x^2+y^2=4

and

C^{\prime}: x^2+y^2-4 \lambda x+9=0

be two circles. If the set of all values of

\lambda

so that the circles

\mathrm{C}

and

\mathrm{C}

intersect at two distinct points, is

\mathrm{R}-[\mathrm{a}, \mathrm{b}]

, then the point

(8 \mathrm{a}+12,16 \mathrm{~b}-20)

lies on the curve :

A
$x^2+2 y^2-5 x+6 y=3$
B
$5 x^2-y=-11$
C
$x^2-4 y^2=7$
D
$6 x^2+y^2=42$

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