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NDA Math Three Dimensional Geometry

Consider the following for the next three (03) items that follow :

The plane

6x + ky + 3z - 12 = 0

where

k \neq 0

meets the coordinate axes at

A, B

and

C

respectively. The equation of the sphere passing through the origin and

A, B, C

x^{2} + y^{2} + z^{2} - 2x - 3y - 4z = 0

[NDA-I 2022]

Question : 5 of 92

Marks: +1, -0

What is the value of

k

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