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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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.
Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.
  • 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 'B'. Can you explain this answer?
Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
A sector is region which lies between an arc and two radii joining the extremities of the arc and the centre.
The shaded region denotes the sector of a circle. The unshaded part is also a sector.
Notice that it is enclosed by two radii and an arc.
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Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion: Given a circle of radius r and with center O. A point P lies in a plane such that OP > r, then point P lies on the exterior of the circle.

Reason: The region between an arc and the two radii, joining the center of the endpoints of the arc, is called a sector.

To determine the correctness of the given assertion and reason, let's analyze each statement separately.

Assertion: Given a circle of radius r and with center O. A point P lies in a plane such that OP > r, then point P lies on the exterior of the circle.

This assertion is true. When the distance between the point P and the center O of the circle is greater than the radius r, it means that P is located outside the circle. This is because the radius is the distance from the center to any point on the circumference of the circle. If the distance between P and O is greater than the radius, P must be outside the circle.

Reason: The region between an arc and the two radii, joining the center of the endpoints of the arc, is called a sector.

This reason is true. A sector of a circle is a region enclosed by an arc and the two radii that connect the center of the circle to the endpoints of the arc. It is named based on the angle formed by the two radii at the center of the circle.

Now, let's evaluate the relationship between the assertion and reason.

The reason does not provide a direct explanation for the assertion. It discusses a different concept related to circles, which is the definition of a sector. Although the reason is true, it does not explain why a point P lying outside the circle would be represented by OP > r.

Therefore, the correct answer is option B: Both the assertion and reason are true, but the reason is not 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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.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 'B'. 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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.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 'B'. 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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.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 'B'. 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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.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 'B'. 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 : Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r then point P lies on the exterior of the circle.Reason : The region between an arc and the two radii, joining the centre of the end points of the arc, is called a sector.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 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
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