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If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:
- a)the angle subtended by AB at P and Q are either equal or supplementary.
- b)the sum of the angles subtended by AB at P and Q is always equal two right angles.
- c)the angles subtended at P and Q by AB are always equal.
- d)the sum of the angles subtended at P and Q is equal to four right angles.
Correct answer is option 'A'. Can you explain this answer?
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If AB is a chord of a circle, P and Q are two points on the circle dif...
Understanding Angles Subtended by Chord AB
When considering a chord AB in a circle with points P and Q on the circumference, the angles subtended by the chord at these points have interesting properties.
Angle Subtended at Points P and Q
- The angles subtended by chord AB at points P and Q can be denoted as ∠APB and ∠AQB.
- According to the properties of circles, these angles can either be equal or supplementary.
Why are the Angles Equal or Supplementary?
- If points P and Q lie on the same side of chord AB, then ∠APB is equal to ∠AQB. This is because of the Inscribed Angle Theorem, which states that angles subtended by the same chord at points on the circumference are equal.
- Conversely, if points P and Q lie on opposite sides of chord AB, the angles are supplementary. This means that the sum of the angles ∠APB and ∠AQB equals 180 degrees.
Conclusion
- Therefore, the correct option is (A): The angle subtended by AB at points P and Q are either equal or supplementary.
- This illustrates a fundamental property of circles in geometry, showcasing the relationship between chords and angles.
Understanding these properties enhances comprehension of circular geometry and its applications in various mathematical problems.
When considering a chord AB in a circle with points P and Q on the circumference, the angles subtended by the chord at these points have interesting properties.
Angle Subtended at Points P and Q
- The angles subtended by chord AB at points P and Q can be denoted as ∠APB and ∠AQB.
- According to the properties of circles, these angles can either be equal or supplementary.
Why are the Angles Equal or Supplementary?
- If points P and Q lie on the same side of chord AB, then ∠APB is equal to ∠AQB. This is because of the Inscribed Angle Theorem, which states that angles subtended by the same chord at points on the circumference are equal.
- Conversely, if points P and Q lie on opposite sides of chord AB, the angles are supplementary. This means that the sum of the angles ∠APB and ∠AQB equals 180 degrees.
Conclusion
- Therefore, the correct option is (A): The angle subtended by AB at points P and Q are either equal or supplementary.
- This illustrates a fundamental property of circles in geometry, showcasing the relationship between chords and angles.
Understanding these properties enhances comprehension of circular geometry and its applications in various mathematical problems.
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If AB is a chord of a circle, P and Q are two points on the circle dif...
These answer class 9 chapter circle
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If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer?
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If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer?.
If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer?.
Solutions for If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:a)the angle subtended by AB at P and Q are either equal or supplementary.b)the sum of the angles subtended by AB at P and Q is always equal two right angles.c)the angles subtended at P and Q by AB are always equal.d)the sum of the angles subtended at P and Q is equal to four right angles.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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