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Mathematics · 2022

JEE Main · 27 July 2022, Shift 2 · Q12

A circle C_1 passes through the origin O and has diameter 4 on the positive x -axis. The line y=2 x gives a chord OA of circle C_1. Let C_2 be the…

A circle $\displaystyle \mathrm{C}_1$ passes through the origin O and has diameter $\displaystyle 4$ on the positive $\displaystyle x$-axis. The line $\displaystyle y=2 x$ gives a chord OA of circle $\displaystyle \mathrm{C}_1$. Let $\displaystyle \mathrm{C}_2$ be the circle with OA as a diameter. If the tangent to $\displaystyle \mathrm{C}_2$ at the point A meets the $\displaystyle x$-axis at P and $\displaystyle y$-axis at Q, then QA : AP is equal to :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.