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Chords and tangents of a circle

Class 10 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. A line that touches a circle at exactly one point is a:

    • A Tangent
    • B Chord
    • C Secant
    • D Radius
  2. 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
  3. 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
  4. Tangents drawn to a circle from an outside point are:

    • A Perpendicular
    • B Parallel
    • C Different in length
    • D Equal in length
  5. The angle in a semicircle is:

    • A 45 degrees
    • B 180 degrees
    • C 90 degrees
    • D 60 degrees

Answer key

1. A, 2. A, 3. B, 4. D, 5. C

  1. A tangent meets the circle at one point.

  2. The tangent is at right angles to the radius at the contact point.

  3. It divides the chord into two equal parts.

  4. Two tangents from the same external point have equal lengths.

  5. An angle inscribed in a semicircle is a right angle.