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Mathematics · 2023

JEE Main · 25 January 2023, Shift 2 · Q85

Points P (-3,2), Q (9,10) and R (α, 4) lie on a circle C with PR as its diameter. The tangents to C at the points Q and R intersect at the point S.…

Points $\displaystyle \mathrm{P}(-3,2), \mathrm{Q}(9,10)$ and $\displaystyle \mathrm{R}(\alpha, 4)$ lie on a circle C with PR as its diameter. The tangents to C at the points Q and R intersect at the point S . If S lies on the line $\displaystyle 2 x-k y=1$, then k is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.