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UPSC NDA II 2024 Mathematics Paper

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Question Numbers: 65-66
Direction: Consider the following for the items that follow:
Let 2x² + 2y² + 2z² + 3x + 3y + 3z - 6 = 0 be a sphere.

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Question : 66

Total: 120

The centre of the sphere lies on the plane

2x + 2y + 2z - 3 = 0
4x + 4y + 4z - 3 = 0
4x + 8y + 8z - 15 = 0
4x + 8y + 8z + 15 = 0

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