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Question (11)

QN009508

If two chords are at equal distances from the centre, then they are:

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

Correct Answer: B

Explanation:

Chords equidistant from the centre are equal.

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Question (12)

QN009509

A circle has radius 15 cm. A chord is 9 cm away from the centre. The chord length is:

(A) 12 cm
(B) 18 cm
(C) 24 cm
(D) 30 cm

Correct Answer: C

Explanation:

Half chord = √(15²−9²)=12 cm, so chord = 24 cm.

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Question (13)

QN009510

Which statement is true for unequal chords in the same circle?

(A) Longer chord is farther from centre
(B) Shorter chord is nearer to centre
(C) Longer chord is nearer to centre
(D) Both are equally distant from centre

Correct Answer: C

Explanation:

Longer chords lie nearer to the centre.

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Question (14)

QN009511

A chord of length 16 cm lies 12 cm away from the centre. The radius is:

(A) 14 cm
(B) 15 cm
(C) 16 cm
(D) 20 cm

Correct Answer: A

Explanation:

Half chord = 8 cm. Radius = √(8²+12²)=√208≈14 cm.

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Question (15)

QN009512

The shortest distance between the centre and a chord is along the:

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

Correct Answer: C

Explanation:

The perpendicular gives the shortest distance.

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Question (16)

QN009513

A chord of length 30 cm is at a distance of 16 cm from the centre. The radius is:

(A) 17 cm
(B) 18 cm
(C) 19 cm
(D) 20 cm

Correct Answer: A

Explanation:

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

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Question (17)

QN009514

In the same circle, which chord is smaller?

(A) Chord nearer to centre
(B) Chord farther from centre
(C) Diameter
(D) Equal chord

Correct Answer: B

Explanation:

Chords farther from the centre are shorter.

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Question (18)

QN009515

A circle has radius 25 cm and a chord 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, so chord = 14 cm.

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Question (19)

QN009516

Equal chords in the same circle are always:

(A) Equidistant from the centre
(B) Diameters
(C) Perpendicular
(D) Tangents

Correct Answer: A

Explanation:

Equal chords are equidistant from the centre.

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Question (20)

QN009517

A chord 48 cm long is at a distance of 7 cm from the centre. The radius is:

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

Correct Answer: B

Explanation:

Half chord = 24 cm. Radius = √(24²+7²)=25 cm.

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Question (11)

If two chords are at equal distances from the centre, then they are:

Explanation:

Link:

Question (12)

A circle has radius 15 cm. A chord is 9 cm away from the centre. The chord length is:

Explanation:

Link:

Question (13)

Which statement is true for unequal chords in the same circle?

Explanation:

Link:

Question (14)

A chord of length 16 cm lies 12 cm away from the centre. The radius is:

Explanation:

Link:

Question (15)

The shortest distance between the centre and a chord is along the:

Explanation:

Link:

Question (16)

A chord of length 30 cm is at a distance of 16 cm from the centre. The radius is:

Explanation:

Link:

Question (17)

In the same circle, which chord is smaller?

Explanation:

Link:

Question (18)

A circle has radius 25 cm and a chord at a distance of 24 cm from the centre. The chord length is:

Explanation:

Link:

Question (19)

Equal chords in the same circle are always:

Explanation:

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Question (20)

A chord 48 cm long is at a distance of 7 cm from the centre. The radius is:

Explanation:

Link:

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