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NTPC Graduate Tier 1 2025 Shift-2 📅 05 Jun, 2025

What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?

A
1 : 3
B
2 : 1
C
3 : 1
D
1 : 2
Result Summary
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NTPC Graduate Tier 1
2025 • 05 Jun, 2025 • Shift-2
What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?
Correct Answer
2 : 1
Geometric Theorem: A foundational principle of circle geometry dictates the specific relationship between angles generated by the same arc or chord.Angle Dynami......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Geometry
Pg. No -
💡 Analysis & Explanation
Geometric Theorem ▼
A foundational principle of circle geometry dictates the specific relationship between angles generated by the same arc or chord.
Angle Dynamics ▼
The theorem states that the angle subtended by an arc (or chord) at the absolute center of a circle is always exactly double the angle it subtends at any remaining active point on the outer circumference.
Ratio Structuring ▼
Let the angle at the circumference be θ. Consequently, the central angle evaluates to 2θ. Comparing them translates to 2θ / θ.
Conclusion ▼
The required mathematical ratio simplifies flawlessly to 2:1.
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