EWT | Academic Question

Questions
Question (1)
QN009418
A line segment joining any two points on a circle is called:
  • (A) Radius
  • (B) Diameter
  • (C) Chord
  • (D) Arc

Correct Answer: C
Explanation:

A line segment joining two points on a circle is called a chord.

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Question (2)
QN009419
Equal chords of the same circle subtend:
  • (A) Unequal angles at the centre
  • (B) Equal angles at the centre
  • (C) Right angles at the centre
  • (D) Straight angles at the centre

Correct Answer: B
Explanation:

Equal chords subtend equal angles at the centre.

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Question (3)
QN009420
A chord passing through the centre of a circle is called:
  • (A) Radius
  • (B) Arc
  • (C) Diameter
  • (D) Sector

Correct Answer: C
Explanation:

A diameter is a chord passing through the centre.

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Question (4)
QN009421
In a circle of radius 10 cm, a chord is at a perpendicular distance of 6 cm from the centre. The length of the chord 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 length = 16 cm.

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Question (5)
QN009422
The longest chord of a circle is always:
  • (A) Radius
  • (B) Diameter
  • (C) Arc
  • (D) Tangent

Correct Answer: B
Explanation:

Diameter is the longest chord of a circle.

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Question (6)
QN009423
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 (7)
QN009424
The angle subtended by a diameter at any point on the circle is:
  • (A) 45°
  • (B) 60°
  • (C) 90°
  • (D) 180°

Correct Answer: C
Explanation:

Angle in a semicircle is always 90°.

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Question (8)
QN009425
In a circle, a chord subtends an angle of 80° at the centre. The angle subtended by the same chord at a point on the remaining part of the circle is:
  • (A) 20°
  • (B) 40°
  • (C) 80°
  • (D) 160°

Correct Answer: B
Explanation:

Angle at circumference = half of angle at centre = 40°.

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Question (9)
QN009426
If two chords subtend equal angles at the centre of a circle, then the chords are:
  • (A) Parallel
  • (B) Perpendicular
  • (C) Equal
  • (D) Diameters

Correct Answer: C
Explanation:

Chords subtending equal angles at the centre are equal.

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Question (10)
QN009427
The perpendicular from the centre of a circle to a chord:
  • (A) Doubles the chord
  • (B) Bisects the chord
  • (C) Is parallel to the chord
  • (D) Makes 45° with the chord

Correct Answer: B
Explanation:

Perpendicular from the centre bisects the chord.

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