CIRCLES Class IX
Quiz 1 Compiled by Mrs. Pintu Prasad
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1.  In Fig., two congruent circles have centres O and O′. Arc AXB subtends an angle of 75º at the centre O and arc A′ Y B′ subtends an angle of 25º at the centre O′. Then the ratio of arcs A X B and A′ Y B′ is
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2. In Fig. , AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD, respectively.If ∠POQ = 150º, then ∠APQ is equal to
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3. AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is
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4. If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is
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5. . In Fig., if ∠ABC = 20º, then ∠AOC is equal to
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6. In Fig., if AOB is a diameter of the circleand AC = BC, then ∠CAB is equal to
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7. In Fig. , if ∠OAB = 40º, then ∠ACB is equal to
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8. In Fig. , if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to
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9. ABCD is a cyclic quadrilateral such that AB isa diameter of the circle circumscribing it and∠ADC = 140º, then ∠BAC is equal to
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10. In Fig. , BC is a diameter of the circle and∠BAO = 60º. Then ∠ADC is equal to
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11. In Fig. 10.9, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to
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