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Chords and tangents of a circle
Class 10 · Mathematics · 9 questions
Name: ____________________ Date: ____________
A line that touches a circle at exactly one point is a:
- A Tangent
- B Chord
- C Secant
- D Radius
A tangent to a circle is perpendicular to the:
- A Radius at the point of contact
- B Diameter parallel to it
- C Chord
- D Another tangent always
The perpendicular from the centre of a circle to a chord:
- A Is a tangent
- B Bisects the chord
- C Is parallel to it
- D Is equal to the chord
Tangents drawn to a circle from an outside point are:
- A Perpendicular
- B Parallel
- C Different in length
- D Equal in length
The angle in a semicircle is:
- A 45 degrees
- B 180 degrees
- C 90 degrees
- D 60 degrees
The longest chord of a circle is the:
- A Arc
- B Radius
- C Tangent
- D Diameter
The angle at the centre of a circle is ___ the angle at the circumference on the same arc.
- A Twice
- B Equal to
- C Three times
- D Half
Equal chords of a circle are ___ from the centre.
- A Not equidistant
- B Equidistant
- C Always zero
- D Infinite
A line meeting the circle at two points is a:
- A Radius
- B Diameter
- C Secant
- D Tangent
Answer key
1. A, 2. A, 3. B, 4. D, 5. C, 6. D, 7. A, 8. B, 9. C
A tangent meets the circle at one point.
The tangent is at right angles to the radius at the contact point.
It divides the chord into two equal parts.
Two tangents from the same external point have equal lengths.
An angle inscribed in a semicircle is a right angle.
A diameter passes through the centre.
The central angle is double.
Equal chords lie at the same distance from the centre.
A secant cuts the circle twice.