jee-main 2022 Q65

jee-main · India · session2_25jul_shift1 Circles Circle-Related Locus Problems

Let the locus of the centre $(\alpha , \beta),\ \beta > 0$, of the circle which touches the circle $x ^ { 2 } + (y - 1) ^ { 2 } = 1$ externally and also touches the $x$-axis be $L$. Then the area bounded by $L$ and the line $y = 4$ is
(1) $\frac { 32 \sqrt { 2 } } { 3 }$
(2) $\frac { 40 \sqrt { 2 } } { 3 }$
(3) $\frac { 64 } { 3 }$
(4) $\frac { 32 } { 3 }$

Let the locus of the centre $(\alpha , \beta),\ \beta > 0$, of the circle which touches the circle $x ^ { 2 } + (y - 1) ^ { 2 } = 1$ externally and also touches the $x$-axis be $L$. Then the area bounded by $L$ and the line $y = 4$ is\\
(1) $\frac { 32 \sqrt { 2 } } { 3 }$\\
(2) $\frac { 40 \sqrt { 2 } } { 3 }$\\
(3) $\frac { 64 } { 3 }$\\
(4) $\frac { 32 } { 3 }$

Paper Questions

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