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Geometrical Representation of a Complex Number

If the produc...

Question

If the product of distances of the point (1, 1, 1) from the origin and the plane x - y + z + k = 0 be 5, then k =

A

-2

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B

-3

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C

4

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D

7

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Solution

The correct option is C
4

$\sqrt{1 + 1 + 1} . (\frac{1 - 1 + 1 + k}{\sqrt{3}}) = \pm 5 k = \pm 5 - 1 = 4, - 6.$

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