Consider the equation of a sphere
x² + y² + z² – 4x – 6y – 8z – 16 = 0.
Which of the following statements is/are correct?

1. z-axis is tangent to the sphere.

2. The centre of the sphere lies on the plane x + y + z – 9 = 0.

Mathematics 2022 NDA Mathematics 2022 NDA 2022

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