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Circle question

2022 · 27 Jun · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Circle
2022 · 27 Jun · Shift 2 · Q30

Circle question

2022 · 27 Jun · Shift 2 · Q30

JEE MainMathematicsCircleMCQ+4 / −1

The set of values of k, for which the circle

C:4{x^2} + 4{y^2} - 12x + 8y + k = 0

lies inside the fourth quadrant and the point

\left( {1, - {1 \over 3}} \right)

lies on or inside the circle C, is :

A
an empty set
B
$\left( {6,{{65} \over 9}} \right]$
C
$\left[ {{{80} \over 9},10} \right)$
D
$\left( {9,{{92} \over 9}} \right]$

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