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UP TGT Mathematics Integration Test Series - Part 3

The radius of the circle in which the sphere x^2 + y^2 + z^2 = 25 is cut by the plane z = 3 is:

Type: MCQ • Marks: 1
The radius of the circle in which the sphere x^2 + y^2 + z^2 = 25 is cut by the plane z = 3 is:
Options
A. 16
B. 5
C. 3
D. 4
Explanation
Substitute z = 3 into sphere equation: x² + y² + 9 = 25 ⇒ x² + y² = 16 = 4². So radius is 4.
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