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UPSC NDA I 2022 Mathematics Solved Paper

Question Numbers: 91-93

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 is

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

Question : 91 of 120

Marks: +1, -0

What is the value of k?

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