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Directions: Study the following questions carefully and choose right answer:

  • 1.
    In ΔABC, ∠ABC = 70°, ∠BCA = 40°. O is the point of intersection of the perpendicular bisectors of the sides, then the angle ∠BOC is
    A. 100° B. 120°
    C. 130° D. 140°

  • 2.
    A, B, C are three points on the circumference of a circle and if AB = AC = 5 2  cm and ∠BAC = 90°, find the radius. 
     

    A. 10 cm B. 5 cm
    C. 20 cm D. 15 cm

  • 3.
    In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is
     
    A. 30° B. 40°
    C. 20° D. 70°

  • 4.
    Two chords of lengths a metre and b metre subtend angles 60° and 90° at the centre of the circle respectively. Which of the following is true ?
    A.
    b =  2 a

    B.
    a =  2 b

    C. a = 2b D. b = 2a

  • 5.
    Two circles touch externally at P, QR is a common tangent of the circles touching the circles at Q and R. Then measure of ∠QPR is
    A. 60° B. 30°
    C. 90° D. 45°