jee-main 2019 Q72

jee-main · India · session2_09apr_shift2 Circles Tangent Lines and Tangent Lengths

If the tangent to the parabola $y ^ { 2 } = x$ at a point $( \alpha , \beta ) , ( \beta > 0 )$ is also a tangent to the ellipse, $x ^ { 2 } + 2 y ^ { 2 } = 1$ then $\alpha$ is equal to:
(1) $\sqrt { 2 } - 1$
(2) $2 \sqrt { 2 } + 1$
(3) $\sqrt { 2 } + 1$
(4) $2 \sqrt { 2 } - 1$

If the tangent to the parabola $y ^ { 2 } = x$ at a point $( \alpha , \beta ) , ( \beta > 0 )$ is also a tangent to the ellipse, $x ^ { 2 } + 2 y ^ { 2 } = 1$ then $\alpha$ is equal to:\\
(1) $\sqrt { 2 } - 1$\\
(2) $2 \sqrt { 2 } + 1$\\
(3) $\sqrt { 2 } + 1$\\
(4) $2 \sqrt { 2 } - 1$

Paper Questions

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