Let P be an arbitrary point having sum of the squares of the distance from the planes x + y + z = 0, – nz = 0...

Question

Let P be an arbitrary point having sum of the squares of the distance from the planes x + y + z = 0, – nz = 0 and x – 2y + z = 0, equal to 9. If the locus of the point P is x^2+y^2+z^2=9, then the value of -n is equal to __________.

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JEE Main 2021 Mathematics question

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