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Chords and tangents of a circle
Written by Hassan Raza (Mathematics)
9 Class 10 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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A line that touches a circle at exactly one point is a:
- 1 Tangent
- 2 Chord
- 3 Secant
- 4 Radius
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Correct answer: Tangent
A tangent meets the circle at one point.
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A tangent to a circle is perpendicular to the:
- 1 Radius at the point of contact
- 2 Diameter parallel to it
- 3 Chord
- 4 Another tangent always
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Correct answer: Radius at the point of contact
The tangent is at right angles to the radius at the contact point.
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The perpendicular from the centre of a circle to a chord:
- 1 Is a tangent
- 2 Bisects the chord
- 3 Is parallel to it
- 4 Is equal to the chord
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Correct answer: Bisects the chord
It divides the chord into two equal parts.
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Tangents drawn to a circle from an outside point are:
- 1 Perpendicular
- 2 Parallel
- 3 Different in length
- 4 Equal in length
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Correct answer: Equal in length
Two tangents from the same external point have equal lengths.
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The angle in a semicircle is:
- 1 45 degrees
- 2 180 degrees
- 3 90 degrees
- 4 60 degrees
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Correct answer: 90 degrees
An angle inscribed in a semicircle is a right angle.
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The longest chord of a circle is the:
- 1 Arc
- 2 Radius
- 3 Tangent
- 4 Diameter
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Correct answer: Diameter
A diameter passes through the centre.
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The angle at the centre of a circle is ___ the angle at the circumference on the same arc.
- 1 Twice
- 2 Equal to
- 3 Three times
- 4 Half
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Correct answer: Twice
The central angle is double.
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Equal chords of a circle are ___ from the centre.
- 1 Not equidistant
- 2 Equidistant
- 3 Always zero
- 4 Infinite
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Correct answer: Equidistant
Equal chords lie at the same distance from the centre.
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A line meeting the circle at two points is a:
- 1 Radius
- 2 Diameter
- 3 Secant
- 4 Tangent
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Correct answer: Secant
A secant cuts the circle twice.
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