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Mathematics · 2021

JEE Main · 17 March 2021, Shift 2 · Q88

Let P be an arbitrary point having sum of the squares of the distances from the planes x+y+z=0, l x- n z=0 and x-2 y+z=0, equal to 9. If the locus of…

Let P be an arbitrary point having sum of the squares of the distances from the planes $\displaystyle x+y+z=0, l x-\mathrm{n} z=0$ and $\displaystyle x-2 y+z=0$, equal to 9. If the locus of the point P is $\displaystyle x^2+y^2+z^2=9$, then the value of $\displaystyle l-\mathrm{n}$ is equal to \_\_\_\_.
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