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Mathematics · 2022

JEE Main · 25 July 2022, Shift 1 · Q29

The sum of diameters of the circles that touch (i) the parabola 75 x^2=64(5 y-3) at the point (8/5, 6/5) and (ii) the y -axis, is equal to \ \ \ \.

The sum of diameters of the circles that touch (i) the parabola $\displaystyle 75 x^2=64(5 y-3)$ at the point $\displaystyle \left(\frac{8}{5}, \frac{6}{5}\right)$ and (ii) the $\displaystyle y$-axis, 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.