jee-main 2019 Q70

jee-main · India · session1_12jan_shift2 Circles Tangent Lines and Tangent Lengths

The equation of a tangent to the parabola, $x ^ { 2 } = 8 y$, which makes an angle $\theta$ with the positive direction of $x$-axis, is
(1) $y = x \tan \theta + 2 \cot \theta$
(2) $y = x \tan \theta - 2 \cot \theta$
(3) $x = y \cot \theta + 2 \tan \theta$
(4) $x = y \cot \theta - 2 \tan \theta$

The equation of a tangent to the parabola, $x ^ { 2 } = 8 y$, which makes an angle $\theta$ with the positive direction of $x$-axis, is\\
(1) $y = x \tan \theta + 2 \cot \theta$\\
(2) $y = x \tan \theta - 2 \cot \theta$\\
(3) $x = y \cot \theta + 2 \tan \theta$\\
(4) $x = y \cot \theta - 2 \tan \theta$

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