Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q28
If two tangents drawn from a point (α, β) lying on the ellipse 25 x^2+4 y^2=1 to the parabola y^2=4 x are such that the slope of one tangent is four…
If two tangents drawn from a point $\displaystyle (\alpha, \beta)$ lying on the ellipse $\displaystyle 25 x^2+4 y^2=1$ to the parabola $\displaystyle y^2=4 x$ are such that the slope of one tangent is four times the other, then the value of $\displaystyle (10 \alpha+5)^2+\left(16 \beta^2+50\right)^2$ equals \_\_\_\_.
Official answer
2929
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.