jee-main 2014 Q82

jee-main · India · 06apr Tangents, normals and gradients Common tangent line to two curves

The slope of the line touching both the parabolas $y ^ { 2 } = 4 x$ and $x ^ { 2 } = - 32 y$ is
(1) $\frac { 1 } { 8 }$
(2) $\frac { 2 } { 3 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 3 } { 2 }$

The slope of the line touching both the parabolas $y ^ { 2 } = 4 x$ and $x ^ { 2 } = - 32 y$ is\\
(1) $\frac { 1 } { 8 }$\\
(2) $\frac { 2 } { 3 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $\frac { 3 } { 2 }$

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