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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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.
- 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 'C'. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is gi...
Two or more circles are called concentric circles if and only if they have same centre but different radii.
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Direction: In the following questions, a statement of Assertion is gi...
Assertion: The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
Reason: Two or more circles are called concentric circles if and only if they have different centre and radii.
Explanation:
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. In other words, the circumcircle of a cyclic quadrilateral passes through all four vertices of the quadrilateral. Let's analyze the given assertion and reason in detail:
Assertion: The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
In a cyclic quadrilateral, opposite angles are supplementary, which means they add up to 180º. This property can be proven using the fact that opposite angles in a cyclic quadrilateral are subtended by the same arc on the circumcircle.
Reason: Two or more circles are called concentric circles if and only if they have different centre and radii.
This reason is not directly related to the assertion and does not provide a correct explanation. The reason talks about concentric circles, which are circles that share the same center but have different radii. However, this concept is not relevant to the sum of opposite angles in a cyclic quadrilateral.
Conclusion:
The assertion is true because opposite angles in a cyclic quadrilateral are supplementary. However, the reason is false as it does not provide a correct explanation for the assertion. Hence, the correct answer is option 'C' - Assertion is true but reason is false.
Reason: Two or more circles are called concentric circles if and only if they have different centre and radii.
Explanation:
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. In other words, the circumcircle of a cyclic quadrilateral passes through all four vertices of the quadrilateral. Let's analyze the given assertion and reason in detail:
Assertion: The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
In a cyclic quadrilateral, opposite angles are supplementary, which means they add up to 180º. This property can be proven using the fact that opposite angles in a cyclic quadrilateral are subtended by the same arc on the circumcircle.
Reason: Two or more circles are called concentric circles if and only if they have different centre and radii.
This reason is not directly related to the assertion and does not provide a correct explanation. The reason talks about concentric circles, which are circles that share the same center but have different radii. However, this concept is not relevant to the sum of opposite angles in a cyclic quadrilateral.
Conclusion:
The assertion is true because opposite angles in a cyclic quadrilateral are supplementary. However, the reason is false as it does not provide a correct explanation for the assertion. Hence, the correct answer is option 'C' - Assertion is true but reason is false.
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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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer?.
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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer?.
Solutions 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer?, a detailed solution 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 sum of either pair of opposite angles of a cyclic quadrilateral is 180º.Reason : Two or more circles are called concentric circles if and only if they have different centre and radii.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 trueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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