Mathematics · 2017
JEE Main · 9 April 2017, Shift 1 · Q77
A tangent to the curve, y=f(x) at P (x, y) meets x -axis at A and y -axis at B. If AP: BP =1: 3 and f(1)=1, then the curve also passes through the…
A tangent to the curve, $\displaystyle y=f(x)$ at $\displaystyle \mathrm{P}(x, y)$ meets $\displaystyle x$-axis at A and $\displaystyle y$-axis at B. If $\displaystyle \mathrm{AP}: \mathrm{BP}=1: 3$ and $\displaystyle f(1)=1$, then the curve also passes through the point :
Official answer
(3)
$\displaystyle \left(2, \frac{1}{8}\right)$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.