jee-main 2022 Q66

jee-main · India · session1_27jun_shift2 Circles Circle Identification and Classification

The set of values of $k$ for which the circle $C : 4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 8 y + k = 0$ lies inside the fourth quadrant and the point $\left( 1 , - \frac { 1 } { 3 } \right)$ lies on or inside the circle $C$ is
(1) An empty set
(2) $\left( 6 , \frac { 95 } { 9 } \right]$
(3) $\left[ \frac { 80 } { 9 } , 10 \right)$
(4) $\left( 9 , \frac { 92 } { 9 } \right]$

The set of values of $k$ for which the circle $C : 4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 8 y + k = 0$ lies inside the fourth quadrant and the point $\left( 1 , - \frac { 1 } { 3 } \right)$ lies on or inside the circle $C$ is\\
(1) An empty set\\
(2) $\left( 6 , \frac { 95 } { 9 } \right]$\\
(3) $\left[ \frac { 80 } { 9 } , 10 \right)$\\
(4) $\left( 9 , \frac { 92 } { 9 } \right]$

Paper Questions

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