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Question (11)

QN0026596

If two chords are equidistant from the centre of a circle, then they are:

(A) Parallel
(B) Equal
(C) Perpendicular
(D) Diameters

Correct Answer: B

Explanation:

Chords equidistant from the centre are equal.

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Question (12)

QN0026597

In a cyclic quadrilateral ABCD, ∠A = 115°. Find ∠C.

(A) 55°
(B) 65°
(C) 75°
(D) 85°

Correct Answer: B

Explanation:

∠C = 180° − 115° = 65°.

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Question (13)

QN0026598

The perpendicular from the centre of a circle to a chord:

(A) Bisects the chord
(B) Is parallel to the chord
(C) Touches the circle
(D) Is always a diameter

Correct Answer: A

Explanation:

A perpendicular from the centre bisects the chord.

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Question (14)

QN0026599

A chord of a circle is 30 cm long and is 16 cm away from the centre. The radius is:

(A) 15 cm
(B) 16 cm
(C) 17 cm
(D) 18 cm

Correct Answer: C

Explanation:

Half chord = 15 cm. Radius = √(15² + 16²) = 17 cm.

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Question (15)

QN0026600

Angles subtended by the same chord in the same segment are:

(A) Supplementary
(B) Equal
(C) Complementary
(D) Reflex

Correct Answer: B

Explanation:

Angles in the same segment are equal.

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Question (16)

QN0026601

In a circle, a chord subtends 48° at the circumference. The angle subtended at the centre is:

(A) 48°
(B) 72°
(C) 96°
(D) 120°

Correct Answer: C

Explanation:

Angle at centre = 2 × 48° = 96°.

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Question (17)

QN0026602

If opposite angles of a quadrilateral are supplementary, then the quadrilateral is:

(A) A trapezium
(B) Cyclic
(C) A rhombus
(D) A kite

Correct Answer: B

Explanation:

A quadrilateral with supplementary opposite angles is cyclic.

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Question (18)

QN0026603

The longest chord of a circle is the:

(A) Radius
(B) Tangent
(C) Diameter
(D) Arc

Correct Answer: C

Explanation:

Diameter is the longest chord of a circle.

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Question (19)

QN0026604

In a circle of radius 25 cm, a chord is at a distance of 24 cm from the centre. The chord length is:

(A) 7 cm
(B) 12 cm
(C) 14 cm
(D) 24 cm

Correct Answer: C

Explanation:

Half chord = √(25² − 24²) = 7 cm. Chord = 14 cm.

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Question (20)

QN0026605

An exterior angle of a cyclic quadrilateral is equal to the:

(A) Adjacent interior angle
(B) Opposite interior angle
(C) Sum of opposite angles
(D) Half of opposite angle

Correct Answer: B

Explanation:

Exterior angle of a cyclic quadrilateral equals the opposite interior angle.

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Question (11)

If two chords are equidistant from the centre of a circle, then they are:

Explanation:

Link:

Question (12)

In a cyclic quadrilateral ABCD, ∠A = 115°. Find ∠C.

Explanation:

Link:

Question (13)

The perpendicular from the centre of a circle to a chord:

Explanation:

Link:

Question (14)

A chord of a circle is 30 cm long and is 16 cm away from the centre. The radius is:

Explanation:

Link:

Question (15)

Angles subtended by the same chord in the same segment are:

Explanation:

Link:

Question (16)

In a circle, a chord subtends 48° at the circumference. The angle subtended at the centre is:

Explanation:

Link:

Question (17)

If opposite angles of a quadrilateral are supplementary, then the quadrilateral is:

Explanation:

Link:

Question (18)

The longest chord of a circle is the:

Explanation:

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Question (19)

In a circle of radius 25 cm, a chord is at a distance of 24 cm from the centre. The chord length is:

Explanation:

Link:

Question (20)

An exterior angle of a cyclic quadrilateral is equal to the:

Explanation:

Link:

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