SSC Selection Post (Phase XIV) 2025 · Question 153 of 284

Which of the following is a correct property regarding circles?

geometry

AThe angle subtended by an arc at the centre is half the angle subtended by it at any point on the remaining part of the circle.
BAngles in the same segment of a circle are unequal.
CThe angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.Correct
DA cyclic parallelogram is a rhombus.

Answer: C. The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Explanation

Given: Statements about circle properties. Formula Used: Standard Circle Theorems. Solution: A: False. Angle at center is double, not half. B: False. Angles in the same segment are equal. C: True. This is a fundamental theorem (Angle at Center Theorem). D: False. A cyclic parallelogram is a rectangle. Final Answer So the correct answer is (c)

Source: SSC Selection Post (Higher Secondary) Similar Paper (Held on 25 Jul 2025 S2) — Adda247/CareerPower memory-based reconstruction with answers and solutions · memory-based

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