Mathematics · 2021
JEE Main · 3 August 2021, Shift 1 · Q73
If the line α x+β y=1 touches the hyperbola x^2/a^2-y^2/b^2=1, then the locus of the point (α, β) is
If the line $\displaystyle \alpha x+\beta y=1$ touches the hyperbola $\displaystyle \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, then the locus of the point $\displaystyle (\alpha, \beta)$ is
Official answer
(1)
$\displaystyle a^2 x^2-b^2 y^2=1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.