Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q83
Let A (2, 3, 5), B (-1, 3, 2) and C (λ, 5, μ) be the vertices of a Δ ABC. If the median through A is equally inclined to the coordinate axes, then:
Let A ($\displaystyle 2$, $\displaystyle 3$, $\displaystyle 5$), B (-$\displaystyle 1$, $\displaystyle 3$, $\displaystyle 2$) and $\displaystyle \mathrm{C}(\lambda, 5, \mu)$ be the vertices of a $\displaystyle \Delta \mathrm{ABC}$. If the median through A is equally inclined to the coordinate axes, then :
Official answer
(3)
$\displaystyle 10 \lambda-7 \mu=0$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.