Circles – Class 10/MCQ

Circles – Chapter 10/MCQ

  1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. Then the radius of the circle is ———-
    A. 7 cm
    B. 12 cm
    C. 15 cm
  2. If TP and TQ are the two tangents to a circle with centre O so that
    <POQ =110 then <PTQ is equal to —————-
    A. 270
    B. 120
    C. 70
  3. The tangents drawn at the ends of a diameter of a circle are ————–
    A. Equal
    B. Parallel
    C. Perpendicular
  4. The perpendicular at the point of contact to the tangent to a circle passes through the —————
    A. centre
    B. chord
    C. radius
  5. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is ————
    A. 9 cm
    B. 6 cm
    C. 3cm
  6. If the angle between two radii of a circle is 110, then the angle between the tangents at the ends of the radii is ————–
    A. 60
    B. 70
    C. 80
  7. The length of tangents drawn from an external point to the circle are ——-
    A. Equal
    B. Different
    C. None of these.
  8. How many tangents can draw at a point of a circle?
    A. One
    B. Two
    C. Three
  9. AP and BP are tangents to a circle with centre O, such that AP = PB = 5cm and <APB = 60, then the length of the chord AB is ————-
    A. 4 cm
    B. 5cm
    C. 6 cm
  10. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 13cm, length of PQ is ———-
    A. 12 cm
    C. 8.5 cm


  1. 7 cm
  2. 70
  3. Parallel
  4. Centre
  5. 3 cm
  6. 70
  7. Equal
  8. One
  9. 5 cm
  10. 12 cm

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