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
What is the equation of the line through the origin and the centre of the sphere?
Mathematics
2022
NDA Mathematics 2022
NDA 2022
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