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Mathematics · 2016

JEE Main · 10 April 2016, Shift 1 · Q83

ABC is a triangle in a plane with vertices A (2,3,5), B (-1,3,2) and C (λ, 5, μ). If the median through A is equally inclined to the coordinate axes,…

ABC is a triangle in a plane with vertices $\displaystyle \mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)$ and $\displaystyle \mathrm{C}(\lambda, 5, \mu)$. If the median through A is equally inclined to the coordinate axes, then the value of $\displaystyle \left(\lambda^3+\mu^3+5\right)$ is :
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