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Question (1)

QN009458

In a circle, the line joining the centre to the midpoint of a chord is always:

(A) Parallel to the chord
(B) Equal to the chord
(C) Perpendicular to the chord
(D) A tangent

Correct Answer: C

Explanation:

The line joining the centre to the midpoint of a chord is perpendicular to the chord.

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Question (2)

QN009459

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

(A) Divides the chord unequally
(B) Bisects the chord
(C) Touches the circle once
(D) Is parallel to the radius

Correct Answer: B

Explanation:

A perpendicular from the centre bisects the chord.

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Question (3)

QN009460

A chord of a circle is 24 cm long. If the perpendicular from the centre bisects it, each part measures:

(A) 6 cm
(B) 8 cm
(C) 10 cm
(D) 12 cm

Correct Answer: D

Explanation:

Each part = 24/2 = 12 cm.

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Question (4)

QN009461

In a circle of radius 13 cm, the distance of a chord from the centre is 5 cm. The length of the chord is:

(A) 10 cm
(B) 12 cm
(C) 24 cm
(D) 26 cm

Correct Answer: C

Explanation:

Half chord = √(13²−5²)=12 cm, so chord = 24 cm.

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Question (5)

QN009462

If a line drawn from the centre of a circle bisects a chord, then the line is:

(A) Parallel to the chord
(B) Perpendicular to the chord
(C) A tangent
(D) An arc

Correct Answer: B

Explanation:

A line from the centre bisecting a chord is perpendicular to the chord.

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Question (6)

QN009463

In an isosceles triangle inscribed in a circle, the altitude from the vertex opposite the base passes through the:

(A) Circumference
(B) Tangent
(C) Centre of the circle
(D) Radius endpoint

Correct Answer: C

Explanation:

The altitude from the vertex passes through the centre.

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Question (7)

QN009464

A chord is 8 cm from the centre of a circle of radius 17 cm. 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 (8)

QN009465

The midpoint of a chord of a circle is joined to the centre. The angle formed with the chord is:

(A) 30°
(B) 45°
(C) 60°
(D) 90°

Correct Answer: D

Explanation:

The angle formed is always 90°.

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Question (9)

QN009466

Two equal chords of a circle are always:

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

Correct Answer: A

Explanation:

Equal chords are equidistant from the centre.

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Question (10)

QN009467

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

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

Correct Answer: B

Explanation:

Chords equidistant from the centre are equal.

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Question (1)

In a circle, the line joining the centre to the midpoint of a chord is always:

Explanation:

Link:

Question (2)

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

Explanation:

Link:

Question (3)

A chord of a circle is 24 cm long. If the perpendicular from the centre bisects it, each part measures:

Explanation:

Link:

Question (4)

In a circle of radius 13 cm, the distance of a chord from the centre is 5 cm. The length of the chord is:

Explanation:

Link:

Question (5)

If a line drawn from the centre of a circle bisects a chord, then the line is:

Explanation:

Link:

Question (6)

In an isosceles triangle inscribed in a circle, the altitude from the vertex opposite the base passes through the:

Explanation:

Link:

Question (7)

A chord is 8 cm from the centre of a circle of radius 17 cm. The chord length is:

Explanation:

Link:

Question (8)

The midpoint of a chord of a circle is joined to the centre. The angle formed with the chord is:

Explanation:

Link:

Question (9)

Two equal chords of a circle are always:

Explanation:

Link:

Question (10)

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

Explanation:

Link:

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