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38, Mathematics Class 9, Chapter 10: Circles, MULTIPLE-CHOICE QUESTIONS, Choose the correct answer from the given four options in the following questions:, 1. In the given figure, ZBPC = 19°, arc AB = arc BC = arcCD., Then, the measure of ZAPD is, (а) 3 о, b) 5 °, (с) 5 °, d) 7 °, 2. The given figures show two congruent circles, B, with centre O and O'. Arc AXB subtends an, angle of 75° at the centre and arc A'YB' subtends A, an angle of 25° at the centre O'. Then, the ratio of, 75°, arcs AXB to A'YB' is, 25, В, (а) 3:1, (c) 2:1, b) 1:3, d) 1, 3. Greatest chord of a circle is called its, (a) radius, (b) diameter, (c) chord, (d) secant, 4. Angle formed in minor segment of a circle is, (a) an acute angle, (b) an obtuse angle, (c) a right angle, (d) a straight angle, 5. Number of circles that can be drawn through three non-collinear points is, (a) 1, (b) 0, (c) 2, (d) 3, 6. In the given figure, O is the centre of the circle. ZBAO = 68°., AC is a diameter of the circle. The measure of ZBCO is, (a) 22°, A68°, C, (b) 33°, (c) 44°, (d) 68°, [CBSE SP 2012], 7. AB is a chord of a circle with radius 'r'. If P is any point on the circle such that, ZAPB is a right angle, then AB is equal to, (a) r, (b) 2r, 8. Chords AB and CD intersect at right angles. If ZBAC = 40°,, (c) 3r, (d) r2, then ZABD is equal to, (a) 45°, A40°h, (b) 60°, (d) 40°, (c) 50°

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Mathematics Class 9, 39, 9. In the given figure, if OA = 5 cm, AB = 8 cm and OD is, perpendicular to AB, then CD is equal to, (a) 2 cm, (b) 3 ст, A, (с) 4 сm, D, (d) 5 cm, 10. If ABCD is a cyclic trapezium in which AD || BC and, ZB = 60°, then ZBCD is equal to, A, (а) 120°, (b) 100°, (а) 60°, (c) 80°, BA60°, 11. If a straight line APQB is drawn to cut two concentric, circles, then, (а) АР > ВQ, (c) АР < ВQ, 12. 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, (b) АР — ВQ, (d) AQ > PB, Q/B, (a) 8 cm, (b) 6 cm, (d) 10 cm, (с) 12 cm, 13. The value of x in the given figure is, (а) 35°, (b) 45°, (c) 25°, (d) 30°, 110°, B, A, 14. In the given figure, if ZBAC = 25°, then ZBOC is equal to, (a) 25°, (b) 50°, (c) 60°, 25°, (d) 125°, 15. In the given figure, if ZADC = 118°, then the measure of, ZBDC is, (a) 22°, (b) 28°, A, В, (c) 32°, (d) 38°, 16. ABCD is a parallelogram. A circle passes through A and D, and cuts AB at E and DC at F. If ZBEF = 80°, then ZABC, is equal to, (a) 75°, (b) 120°, (с) 100°, (d) 80°, 80°

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40, Mathematics Class 9, 17. If a chord of a circle is equal to its radius, then the angle subtended by this, chord in major segment is, (a) 90°, (c) 45°, (b) 6 °, (d) 30°, 18. In the given figure, PQ and RS are two equal chords of a, circle with centre O. OA and OB are perpendiculars on, chords PQ and RS, respectively. If ZAOB = 140°, then, ZPAB is equal to, (a) 50°, (c) 60°, P, B, 140°, (b) 70°, (d) 40°, 19. In the given figure, AD is the diameter of the circle and, AE = DE. If ZABC = 115°, then the measure of ZCAE is, C, 115°, A, (a) 60°, (b) 80°, (c) 70°, d) 90°, E, 20. In the given figure, if ZABC = 50° and ZBDC = 40°, then, ZBCA is equal to, (a) 100°, (c) 90°, (b) 40°, /C, d) 50°, D40°, 50, 21. In the given figure, AC is a diameter of the given circle and, ZBCD = 75°. Then, ZEAF- ABC is equal to, (a) 1 °, E, (b) 15°, 75, C, (c) 2 °, d) 2 °, 22. In the given figure, O is the centre of the circle. ZOAB and, В, ZOCB are 40° and 30° respectively. Then, the measure of, ZAOC is, 30°C, (a) 120°, (c) 170°, (b) 140°, (d) 110° [CBSE SP 2010], A40°, 23. If ZOAB = 40°, then the measure of ZACB is, (a) 40°, (c) 50°, (b) 80°, (d) 20°, 40°, B., 24. BC is a diameter of the circle and ZBAO = 60°., Then ZADC is equal to, (a) 60°, (b) 45°, (c) 30°, (d) 90°

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Mathematics Class 9, 41, 25. In the given figure, O is the centre of the circle and ZCBE = 25°, and ZDEA = 60°. The measure of ZADB is, 25, (а) 90°, (b) 8 °, (c) 9, d) 120° [CBSE SP 2010], 26 In the given figure, if ZCAB = 50° and ZCBA = 70°, then, ZADB is equal to, (a) 80°, (b) 6, 50°, 70, 'B, A, (c) 5 °, d) 7 °, 27 ABCD is a cyclic quadrilateral such that AB is a diameter of the circle, circumscribing it and ZADC = 140°, then ZBAC is equal to, (a) 30°, (b) 5 o, (c) 4 °, 28. In the given figure, ZABC = 45°, then the measure of, (d) 60°, ZAOC is, 45, (а) 45°, (b) 90°, (c) 6 о, (d) 75°, 29. O is the centre of the given circle. If ZAPB = 120° and, ZDBC = 25°, then the measure of ZADB is equal to, 120°, A, B, (a) 1, (c) 1, (b) 6 °, d) 95°, 30. In the given figure, O is the centre of the circle. If, ZDBA = 35°, then the measure of ZACB is equal to, (а) 35°, (b) 45°, (c) 55°, (d) 65°, 35°B, 31. In the given figure, if ZCDB = 40°, then the measure, of ZPAC is, 40°, P., (a) 160°, (b) 120°, (с) 100°, B, (d) 140°, 32. The given figure shows two intersecting circles., If ZABC = 75°, then the measure of ZPAD is, P., (a) 125°, A, 75°, (b) 150°, (c) 75°, (d) 105°

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42, Mathematics - Class 9, 33. In the given figure, chords AB and CD intersect at P., If ZDPB = 88° and ZDAP = 46°, then the measure of, D, ZABC is, AK46°, (a) 48°, 88°, (b) 42°, (c) 4 °, (d) 4 °, 34. In the given figure, O is the centre of the circle. ABE is, a straight line. If ZDBE = 95°, then ZAOD is equal to, A, (a) 1 °, 95°, (b) 190°, (c) 180°, (d) 1, 35. AOB is the diameter of the circle. If ZAOE = 150°, then the, measure of ZCBE is, 150°, (a) 105°, (c) 1, (b) 1, A, d) 1, 36 The region between a chord and either of the arc is called, (a) a segment, (c) a quarter circle, 37 In the given figure, AB is a side of a regular five sided, polygon and AC is a side of a regular six sided polygon, b) a semicircle, (d) a sector, inscribed in the circle with centre O. AO and CB intersect, at P, then ZAPB is equal to, (a) 1, b) 7 °, (c) 96°, (d) 9, D, 38. AOB is a diameter of the circle and C, D, E are any three, E, points on the semicircle. Then, ZAED + ZBCD is equal to, (a) 2 °, A, (b) 260°, (c) 270°, (d) 280°, 39. What fraction of the whole circle is minor arc RP in the, given figure?, 120°, 1, (a), of the circle, (b), of the circle, 2, (c), of the circle, (d), of the circle, 40. In the given circle, O is the centre and ZBDC = 42°., Then, ZACB is equal to, C, (a) 42°, b) 48°, (c) 58°, (d) 52°, A