Circles

15 Questions

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Circles

Time: 30 Minute


Questions and Answers
  • 1. 
    • A. 

      2 cm

    • B. 

      3 cm

    • C. 

      4 cm

    • D. 

      9 cm

  • 2. 
    The number of points that can be drawn through three non-collinear points is:
    • A. 

      Zero

    • B. 

      Only one

    • C. 

      Three

    • D. 

      Infinite

  • 3. 
    For what value of x in the figure, points A, B, C and D are concyclic?
    • A. 

      9o

    • B. 

      10o

    • C. 

      11o

    • D. 

      12o

  • 4. 
    Two circles are said to be concentric, if:
    • A. 

      They have the same radius

    • B. 

      They have same radii

    • C. 

      They have the same center

    • D. 

      Their centers are collinear

  • 5. 
    In a circle with center O, chords AB and CD are of length 5 cm and 6 cm respectively, and subtend angle xo and yo at the center of circle respectively, then
    • A. 

      Xo = yo

    • B. 

      Xo < yo

    • C. 

      Xo > yo

    • D. 

      None of the above

  • 6. 
    In the given figure, the of y is:
    • A. 

      35°

    • B. 

      70 + x

    • C. 

      70 – x

    • D. 

      140o

  • 7. 
    In the given figure, if ∠PQR =40o, then the value of ∠PSR is:
    • A. 

      40o

    • B. 

      60o

    • C. 

      80o

    • D. 

      90o

  • 8. 
    In the figure, AOB is the diameter of the circle and AC = BC. Then ∠CAB is:
    • A. 

      30o

    • B. 

      45o

    • C. 

      60o

    • D. 

      90o

  • 9. 
    • A. 

      5 cm

    • B. 

      7.5 cm

    • C. 

      10 cm

    • D. 

      None of these

  • 10. 
    A chord of a circle divides the circular region into two parts, the region which contains the center is known as:
    • A. 

      Major Arc

    • B. 

      Minor Arc

    • C. 

      Minor Segment

    • D. 

      Major Segment

  • 11. 
    • A. 

      8 cm

    • B. 

      10 cm

    • C. 

      12 cm

    • D. 

      16 cm

  • 12. 
    An equilateral ΔABC is inscribed in a circle with center O. The measure of ∠BOC is:
    • A. 

      100o

    • B. 

      110o

    • C. 

      120o

    • D. 

      130o

  • 13. 
    • A. 

      Are concyclic

    • B. 

      Do not lie on the same circle

    • C. 

      Are collinear

    • D. 

      A, B, D and A, B, C lie on different circles

  • 14. 
    In the given figure, if POQ is a diameter of the circle and PR = QR, then ∠RPQ is equal to:
    • A. 

      30o

    • B. 

      45o

    • C. 

      60o

    • D. 

      90o

  • 15. 
    AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the center of the circle is:
    • A. 

      17 cm

    • B. 

      15 cm

    • C. 

      8 cm

    • D. 

      4 cm