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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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.
Reason : Length of a diameter = radius.
- 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.
Correct answer is option ''. Can you explain this answer?
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Direction: In the following questions, a statement of Assertion is gi...
Length of diameter = 2 × radius.
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So, Reason is false.
Also, chord is a line connecting two points on a circle. The farthest points are the ones which are collinear to the centre of the circle. Points collinear to the centre of the circle are joined by the diameter. Hence diameter is the longest chord. Assertion is correct but Reason is false.
Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion: A diameter of a circle is the longest chord of the circle and all diameters have equal length.
Reason: Length of a diameter = radius.
Explanation:
- A circle is a closed curve in which all points are equidistant from the center.
- A chord is a line segment that connects any two points on the circumference of a circle.
- The diameter is a special type of chord that passes through the center of the circle. It is the longest chord in a circle because it passes through the widest part of the circle, which is the center.
- The reason behind this is that the diameter is twice the length of the radius.
- The radius is the distance from the center of the circle to any point on its circumference.
- As per the reason stated in the question, the length of a diameter is equal to the radius. This is true because the radius is half the length of the diameter. So if the diameter is d, the radius would be d/2.
- Since all diameters have the same length, it means that the radius of any circle is always half the length of its diameter.
- Therefore, both the assertion and reason are true. The reason correctly explains the assertion that a diameter is the longest chord in a circle and all diameters have equal length.
Conclusion:
The correct answer is option (a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
Reason: Length of a diameter = radius.
Explanation:
- A circle is a closed curve in which all points are equidistant from the center.
- A chord is a line segment that connects any two points on the circumference of a circle.
- The diameter is a special type of chord that passes through the center of the circle. It is the longest chord in a circle because it passes through the widest part of the circle, which is the center.
- The reason behind this is that the diameter is twice the length of the radius.
- The radius is the distance from the center of the circle to any point on its circumference.
- As per the reason stated in the question, the length of a diameter is equal to the radius. This is true because the radius is half the length of the diameter. So if the diameter is d, the radius would be d/2.
- Since all diameters have the same length, it means that the radius of any circle is always half the length of its diameter.
- Therefore, both the assertion and reason are true. The reason correctly explains the assertion that a diameter is the longest chord in a circle and all diameters have equal length.
Conclusion:
The correct answer is option (a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
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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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. 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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. Can you explain this answer?.
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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 : A diameter of a circle is the longest chord of the circle and all diameters have equal length.Reason : Length of a diameter = radius.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.Correct answer is option ''. Can you explain this answer? tests, examples and also practice Class 9 tests.
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