Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
1) Assertion: AB and CD are two parallel chords of a circle whose diameter is AC. Then AB ≠ CD.
Reason : Perpendicular from the centre of a circle does not bisects the chord.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: d) both assertion and reason are false
2.) Assertion: Angles in the same segment of a circle are equal.
Reason: In cyclic quadrilateral, opposite angles are supplementary.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: b)both assertion and reason are correct and reason is correct explanation for assertion.
3 ) Assertion: Perpendicular bisectors of two chords of a circle intersect at its centre.
Reason: : A line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.
4) Assertion: If a sector of a circle of diameter 21 cm subtends an angle of 120° at the centre, then its area is 85.5cm^2
Reason:. In a circle of radius 21 cm, an arc substends an angle
of 60° the centre the length of the arc is 22 cm.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.
5) Assertion: Area of a segment of a circle is less than the area of its corresponding sector.
Reason: The area of the circle inscribed in a square of side a cm, πa^2 cm^2.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: d) both assertion and reason are false.
6) Assertion: Perimeter of a semi circle , (πr+d) units.
Reason: Area of circle is πr^2
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: b) both assertion and reason are correct and reason is correct explanation for assertion.
7) Assertion: If the circumference of a circle is 88 cm, then its radius is 14 cm.
Reason: 2π r is circumference of a circle.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: a) both assertion and reason are correct and reason is correct explanation for assertion.
8) Assertion: measure of an semicircle of an angle is 90°
Reason: Concentric circles are circles having same centre.
a)both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct but Reason is not the correct explanation of Assertion.
(c) Assertion is correct but Reason is false
(d) both assertion and reason are wrong.
Ans: b) both assertion and reason are correct but reason is not correct explanation for assertion.
9) Assertion: If length of a tangent from an external point to a circle is 8 cm, then length of the other tangent from
the same point is 8 cm.
Reason: length of the tangents drawn from an external point to a circle are equal.
Answer: (a)
10) Assertion: If in a cyclic quadrilateral, one angle is 40°, then the opposite angle is 140°
Reason: Sum of opposite angles in a cyclic quadrilateral is equal to 360°
Answer: (c)
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