The plane 6x + ky + 3z − 12 = 0 (where k ≠ 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:
x² + y² + z² + 2x − 3y − 4z = 0
If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct?
Mathematics
2022
NDA Mathematics 2022
NDA 2022
Options
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