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Question

Let x = r cos(t), y = r sin(t) cos(u), z = r sin(t) sin(u). Then the value of x² + y² + z² is:

 

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

 r²

The value of x² + y² + z² simplifies to r² using trigonometric identities.

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