Mathematics · 2021
JEE Main · 17 March 2021, Shift 2 · Q78
Two tangents are drawn from a point P to the circle x^2+y^2-2 x-4 y+4=0, such that the angle between these tangents is tan^-1(12/5), where…
Two tangents are drawn from a point P to the circle $\displaystyle x^2+y^2-2 x-4 y+4=0$, such that the angle between these tangents is $\displaystyle \tan ^{-1}\left(\frac{12}{5}\right)$, where $\displaystyle \tan ^{-1}\left(\frac{12}{5}\right) \in(0, \pi)$. If the centre of the circle is denoted by C and these tangents touch the circle at points A and B, then the ratio of the areas of $\displaystyle \triangle \mathrm{PAB}$ and $\displaystyle \triangle \mathrm{CAB}$ is :
Official answer
(1)
$\displaystyle 9$ : $\displaystyle 4$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.