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Question (1)

QN009498

In a circle, the longer chord is always:

(A) Farther from the centre
(B) Closer to the centre
(C) Equal in distance from the centre
(D) A diameter

Correct Answer: B

Explanation:

Longer chords lie closer to the centre.

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Question (2)

QN009499

Chords equidistant from the centre of a circle 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 (3)

QN009500

A chord of a circle is 24 cm long and is 5 cm away from the centre. The radius of the circle is:

(A) 11 cm
(B) 12 cm
(C) 13 cm
(D) 14 cm

Correct Answer: C

Explanation:

Half chord = 12 cm. Radius = √(12²+5²)=13 cm.

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Question (4)

QN009501

In the same circle, which chord is longer?

(A) Chord at distance 3 cm from centre
(B) Chord at distance 5 cm from centre
(C) Both are equal
(D) Cannot be determined

Correct Answer: A

Explanation:

Chords nearer to the centre are longer.

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Question (5)

QN009502

The distance of a chord from the centre of a circle is measured along the:

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

Correct Answer: D

Explanation:

Distance is measured along the perpendicular from the centre.

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Question (6)

QN009503

A circle has radius 10 cm. A chord is 6 cm from the centre. The chord length is:

(A) 8 cm
(B) 12 cm
(C) 16 cm
(D) 20 cm

Correct Answer: C

Explanation:

Half chord = √(10²−6²)=8 cm, so chord = 16 cm.

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Question (7)

QN009504

If two chords of a circle are equal, then their distances from the centre are:

(A) Unequal
(B) Equal
(C) Double
(D) Zero

Correct Answer: B

Explanation:

Equal chords are equidistant from the centre.

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Question (8)

QN009505

In a circle of radius 17 cm, a chord is at a distance of 8 cm from the centre. The chord length is:

(A) 15 cm
(B) 30 cm
(C) 32 cm
(D) 34 cm

Correct Answer: B

Explanation:

Half chord = √(17²−8²)=15 cm, so chord = 30 cm.

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Question (9)

QN009506

Which chord is nearest to the centre of a circle?

(A) Shortest chord
(B) Diameter
(C) Random chord
(D) Tangent

Correct Answer: B

Explanation:

Diameter passes through the centre, so its distance is zero.

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Question (10)

QN009507

A chord of length 14 cm is at a distance of 24 cm from the centre. The radius of the circle is:

(A) 24 cm
(B) 25 cm
(C) 26 cm
(D) 28 cm

Correct Answer: B

Explanation:

Half chord = 7 cm. Radius = √(24²+7²)=25 cm.

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Question (1)

In a circle, the longer chord is always:

Explanation:

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Question (2)

Chords equidistant from the centre of a circle are:

Explanation:

Link:

Question (3)

A chord of a circle is 24 cm long and is 5 cm away from the centre. The radius of the circle is:

Explanation:

Link:

Question (4)

In the same circle, which chord is longer?

Explanation:

Link:

Question (5)

The distance of a chord from the centre of a circle is measured along the:

Explanation:

Link:

Question (6)

A circle has radius 10 cm. A chord is 6 cm from the centre. The chord length is:

Explanation:

Link:

Question (7)

If two chords of a circle are equal, then their distances from the centre are:

Explanation:

Link:

Question (8)

In a circle of radius 17 cm, a chord is at a distance of 8 cm from the centre. The chord length is:

Explanation:

Link:

Question (9)

Which chord is nearest to the centre of a circle?

Explanation:

Link:

Question (10)

A chord of length 14 cm is at a distance of 24 cm from the centre. The radius of the circle is:

Explanation:

Link:

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