Mathematics · 2025
JEE Main · 23 January 2025, Shift 1 · Q13
Let the arc AC of a circle subtend a right angle at the centre O. If the point B on the arc AC, divides the arc AC such that (length of arc…
Let the arc AC of a circle subtend a right angle at the centre O . If the point B on the arc AC , divides the arc AC such that $\displaystyle \frac{\text { length of } \operatorname{arc} \mathrm{AB}}{\text { length of } \operatorname{arc} \mathrm{BC}}=\frac{1}{5}$, and $\displaystyle \overrightarrow{\mathrm{OC}}=\alpha \overrightarrow{\mathrm{OA}}+\beta \overrightarrow{\mathrm{OB}}$, then $\displaystyle \alpha+\sqrt{2}(\sqrt{3}-1) \beta$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 2-\sqrt{3}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.