Mathematics · 2024
JEE Main · 1 February 2024, Shift 2 · Q17
Consider a ABC where A (1,3,2), B (-2,8,0) and C (3,6,7). If the angle bisector of ∠ BAC meets the line B C at D, then the length of the projection…
Consider a $\displaystyle \triangle \mathrm{ABC}$ where $\displaystyle \mathrm{A}(1,3,2), \mathrm{B}(-2,8,0)$ and $\displaystyle \mathrm{C}(3,6,7)$. If the angle bisector of $\displaystyle \angle \mathrm{BAC}$ meets the line $\displaystyle B C$ at $\displaystyle D$, then the length of the projection of the vector $\displaystyle \overrightarrow{A D}$ on the vector $\displaystyle \overrightarrow{A C}$ is:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{37}{2 \sqrt{38}}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.