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Mathematics · 2019

JEE Main · 10 April 2019, Shift 2 · Q84

If the plane 2 x-y+2 z+3=0 has the distances 1/3 and 2/3 units from the planes 4 x-2 y+4 z+λ=0 and 2 x-y+2 z+μ=0, respectively, then the maximum…

If the plane $\displaystyle 2 x-y+2 z+3=0$ has the distances $\displaystyle \frac{1}{3}$ and $\displaystyle \frac{2}{3}$ units from the planes $\displaystyle 4 x-2 y+4 z+\lambda=0$ and $\displaystyle 2 x-y+2 z+\mu=0$, respectively, then the maximum value of $\displaystyle \lambda+\mu$ is equal to :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.