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Question (21)

QN009518

As a chord moves closer to the centre of a circle, its length:

(A) Decreases
(B) Remains same
(C) Increases
(D) Becomes zero

Correct Answer: C

Explanation:

Chords nearer to the centre are longer.

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Question (22)

QN009519

A chord of a circle is 10 cm long and lies 12 cm from the centre. The radius is:

(A) 12 cm
(B) 13 cm
(C) 14 cm
(D) 15 cm

Correct Answer: B

Explanation:

Half chord = 5 cm. Radius = √(5²+12²)=13 cm.

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Question (23)

QN009520

In a circle of radius 20 cm, a chord is 12 cm from the centre. The chord length is:

(A) 16 cm
(B) 24 cm
(C) 32 cm
(D) 40 cm

Correct Answer: C

Explanation:

Half chord = √(20²−12²)=16 cm, so chord = 32 cm.

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Question (24)

QN009521

The longest chord of a circle is at what distance from the centre?

(A) Radius
(B) Half radius
(C) Zero
(D) Diameter

Correct Answer: C

Explanation:

Diameter passes through the centre, so distance is zero.

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Question (25)

QN009522

A chord is at a perpendicular distance of 15 cm from the centre of a circle of radius 17 cm. The chord length is:

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

Correct Answer: C

Explanation:

Half chord = √(17²−15²)=8 cm, so chord = 16 cm.

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Question (26)

QN009523

If two chords have lengths 18 cm and 24 cm, then the 24 cm chord is:

(A) Farther from the centre
(B) Closer to the centre
(C) Equidistant from the centre
(D) A diameter

Correct Answer: B

Explanation:

Longer chords lie nearer to the centre.

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Question (27)

QN009524

A chord of length 8 cm lies 15 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 = 4 cm. Radius = √(15²+4²)=17 cm.

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Question (28)

QN009525

Which of the following is always true?

(A) Equal chords are parallel
(B) Equal chords are equidistant from centre
(C) Equal chords are diameters
(D) Equal chords form equal arcs only in different circles

Correct Answer: B

Explanation:

Equal chords are equidistant from the centre.

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Question (29)

QN009526

A chord of length 12 cm is at a distance of 5 cm from the centre. The radius is:

(A) 7 cm
(B) 8 cm
(C) 9 cm
(D) 11 cm

Correct Answer: B

Explanation:

Half chord = 6 cm. Radius = √(6²+5²)=√61≈8 cm.

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Question (30)

QN009527

The relationship between chord length and distance from the centre in the same circle is:

(A) Longer chords are farther from centre
(B) Chords at equal distances are unequal
(C) Longer chords are nearer to centre
(D) Distance does not affect chord length

Correct Answer: C

Explanation:

Longer chords are nearer to the centre.

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Question (21)

As a chord moves closer to the centre of a circle, its length:

Explanation:

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Question (22)

A chord of a circle is 10 cm long and lies 12 cm from the centre. The radius is:

Explanation:

Link:

Question (23)

In a circle of radius 20 cm, a chord is 12 cm from the centre. The chord length is:

Explanation:

Link:

Question (24)

The longest chord of a circle is at what distance from the centre?

Explanation:

Link:

Question (25)

A chord is at a perpendicular distance of 15 cm from the centre of a circle of radius 17 cm. The chord length is:

Explanation:

Link:

Question (26)

If two chords have lengths 18 cm and 24 cm, then the 24 cm chord is:

Explanation:

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Question (27)

A chord of length 8 cm lies 15 cm away from the centre. The radius is:

Explanation:

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Question (28)

Which of the following is always true?

Explanation:

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Question (29)

A chord of length 12 cm is at a distance of 5 cm from the centre. The radius is:

Explanation:

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Question (30)

The relationship between chord length and distance from the centre in the same circle is:

Explanation:

Link:

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