Mathematics · 2022
JEE Main · 27 July 2022, Shift 1 · Q11
Let P(a, b) be a point on the parabola y^2=8 x such that the tangent at P passes through the centre of the circle x^2+y^2-10 x-14 y+65=0. Let A be…
Let $\displaystyle P(a, b)$ be a point on the parabola $\displaystyle y^2=8 x$ such that the tangent at $\displaystyle P$ passes through the centre of the circle $\displaystyle x^2+y^2-10 x-14 y+65=0$. Let $\displaystyle A$ be the product of all possible values of $\displaystyle a$ and $\displaystyle B$ be the product of all possible values of $\displaystyle b$. Then the value of $\displaystyle A+B$ is equal to
Official answer
(4)
$\displaystyle 65$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.