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Mathematics · 2021

JEE Main · 16 March 2021, Shift 2 · Q70

If (x, y, z) be an arbitrary point lying on a plane P which passes through the points (42,0,0), (0, 42, 0) and (0, 0, 42), then the value of the…

If $\displaystyle (x, y, z)$ be an arbitrary point lying on a plane P which passes through the points $\displaystyle (42,0,0)$, ($\displaystyle 0$, $\displaystyle 42$, $\displaystyle 0$) and ($\displaystyle 0$, $\displaystyle 0$, $\displaystyle 42$), then the value of the expression $$3+\frac{x-11}{(y-19)^2(z-12)^2}+\frac{y-19}{(x-11)^2(z-12)^2}+\frac{z-12}{(x-11)^2(y-19)^2}-\frac{x+y+z}{14(x-11)(y-19)(z-12)} $$ is equal to :
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.