jee-main 2019 Q69

jee-main · India · session2_08apr_shift2 Circles Intersection of Circles or Circle with Conic

The tangent to the parabola $y ^ { 2 } = 4 x$ at the point where it intersects the circle $x ^ { 2 } + y ^ { 2 } = 5$ in the first quadrant, passes through the point:
(1) $\left( \frac { 1 } { 4 } , \frac { 3 } { 4 } \right)$
(2) $\left( - \frac { 1 } { 3 } , \frac { 4 } { 3 } \right)$
(3) $\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)$
(4) $\left( \frac { 3 } { 4 } , \frac { 7 } { 4 } \right)$

The tangent to the parabola $y ^ { 2 } = 4 x$ at the point where it intersects the circle $x ^ { 2 } + y ^ { 2 } = 5$ in the first quadrant, passes through the point:\\
(1) $\left( \frac { 1 } { 4 } , \frac { 3 } { 4 } \right)$\\
(2) $\left( - \frac { 1 } { 3 } , \frac { 4 } { 3 } \right)$\\
(3) $\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)$\\
(4) $\left( \frac { 3 } { 4 } , \frac { 7 } { 4 } \right)$

Paper Questions

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