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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as


Assertion : The measure of ∠AOC = 60º


Reason : Angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by arc on the circumference.

  • a)
    Both assertion and reason are true and reason is the correct explanation of assertion.

  • b)
    Both assertion and reason are true but reason is not the correct explanation of assertion.

  • c)
    Assertion is true but reason is false.

  • d)
    Assertion is false but reason is true.

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction: In the following questions, a statement of Assertion is giv...
Join BO.




In ΔAOB , we have


OA = OB [radius]


∠OBA = ∠OAB


[Angle opposite to equal sides of a triangle are equal]


∠OBA = 30º ...(1)


Similarly, in ΔBOC , we get OB = OC


∠OCB = ∠OBC


∠OBC = 40º ...(2)


∠ABC = ∠OBA + ∠OBC


= 30º + 40º = 70º


[Using (1) and (2)]


Since angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by the arc on the circumference.


∠AOC = 2 x ∠ABC


= 2 x 70º = 140º

As the Assertion states that ∠AOC=60, it is false.
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Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is giv...
Join BO.
In ΔAOB , we have
OA = OB [radius]
∠OBA = ∠OAB
[Angle opposite to equal sides of a triangle are equal]
∠OBA = 30º ...(1)
Similarly, in ΔBOC , we get OB = OC
∠OCB = ∠OBC
∠OBC = 40º ...(2)
∠ABC = ∠OBA + ∠OBC
= 30º + 40º = 70º
[Using (1) and (2)]
Since angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by the arc on the circumference.
∠AOC = 2 x ∠ABC
= 2 x 70º = 140º
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The measure of ∠AOC = 60ºReason : Angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by arc on the circumference.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The measure of ∠AOC = 60ºReason : Angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by arc on the circumference.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The measure of ∠AOC = 60ºReason : Angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by arc on the circumference.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The measure of ∠AOC = 60ºReason : Angle subtended by an arc of a circle at the centre of the circle is double the angle subtended by arc on the circumference.a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'D'. Can you explain this answer?.
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