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MATHEMATICS-IX 3. If O is the centre of a circle of radius r and AB is a chord of the circle at a distarce r/2 from O, then ZBAO= (a) 60° (d) 15° (b) 45° 4. ABCD is a cyclic quadrilate (c) 30° /DCA = 80° the 209 and ZDAR

MATHEMATICS-IX 3. If O is the centre of a circle of radius r and AB is a chord of the circle at a distarce r/2 from O, then ZBAO= (a) 60° (d) 15° (b) 45° 4. ABCD is a cyclic quadrilate (c) 30° /DCA = 80° the 209 and ZDAR

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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of another chord at a distance of 2 cm from the centre of the circle is 4. ABCD is a cyclic quadrilateral such that ZADB=30° and 2DCA=80°, then 5. A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length 3. If O is the centre of a circle of radius r and AB is a chord of the circle at a distance 6. One chord of a circle is known to be 10 cm. The radius of this circle must be 7. ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn 8. If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, MATHEMATICS - 1X r/2 from O, then ZBAO = (a) 60° (b) 45° (d) 15° (c) 30° ZDAB = (a) 70° (b) 100° (d) 150° (c) 125° (a) 12 cm (b) 14 сm (c) 16 cm (d) 18 cm (a) 5 cm (b) greater than 5 cm (d) less than 5 cm (c) greater than or equal to 5 cm throu as centre and AC as radius The leneth of the chord of this circle passing through C and B is (а) 3 cm (b) 4 cm (c) 5 cm (d) 6 cm than ZAOB = (a) 60° (b) 90° (c) 120° (d) none of these 2. Let C be the mid-point of an are AR of a circle such that m AB=183°. If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies (a) in the interior of S (b) in the exterior of S (c) on the segment AB (d) on AB and bisects AB 10. In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are (a) 90° and 270° (b) 90° and 90° (c) 270° and 90° (d) 60° and 210° 11. If A and B are two points on a circle such that m (AB) = 260° . A possible value for the angle subtended by arc BA at a point on the circle is (a) 100° (b) 75° (c) 50° (d) 25° 12. An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ZBOC is (а) 30° 13. If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a (b) 60° (c) 90° (d) 120° (a) rhombus (b) rectangle (c) parallelogram (d) square 14. If ABC is an arc of a circle and ZABC =135°, then the ratio of arc ABC to the circumference, is (a) 1:4 (b) 3:4 (c) 3:8 (d) 1:2 15. The chord of a circle is equal to its radius. The' angle subtended by this chord at the minor arc of the circle, is (a) 60° (b) 75° (c) 120° (d) 150°
Transcribed Image Text:of another chord at a distance of 2 cm from the centre of the circle is 4. ABCD is a cyclic quadrilateral such that ZADB=30° and 2DCA=80°, then 5. A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length 3. If O is the centre of a circle of radius r and AB is a chord of the circle at a distance 6. One chord of a circle is known to be 10 cm. The radius of this circle must be 7. ABC is a triangle with B as right angle, AC = 5 cm and AB = 4 cm. A circle is drawn 8. If AB, BC and CD are equal chords of a circle with O as centre and AD diameter, MATHEMATICS - 1X r/2 from O, then ZBAO = (a) 60° (b) 45° (d) 15° (c) 30° ZDAB = (a) 70° (b) 100° (d) 150° (c) 125° (a) 12 cm (b) 14 сm (c) 16 cm (d) 18 cm (a) 5 cm (b) greater than 5 cm (d) less than 5 cm (c) greater than or equal to 5 cm throu as centre and AC as radius The leneth of the chord of this circle passing through C and B is (а) 3 cm (b) 4 cm (c) 5 cm (d) 6 cm than ZAOB = (a) 60° (b) 90° (c) 120° (d) none of these 2. Let C be the mid-point of an are AR of a circle such that m AB=183°. If the region bounded by the arc ACB and line segment AB is denoted by S, then the centre O of the circle lies (a) in the interior of S (b) in the exterior of S (c) on the segment AB (d) on AB and bisects AB 10. In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are (a) 90° and 270° (b) 90° and 90° (c) 270° and 90° (d) 60° and 210° 11. If A and B are two points on a circle such that m (AB) = 260° . A possible value for the angle subtended by arc BA at a point on the circle is (a) 100° (b) 75° (c) 50° (d) 25° 12. An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ZBOC is (а) 30° 13. If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a (b) 60° (c) 90° (d) 120° (a) rhombus (b) rectangle (c) parallelogram (d) square 14. If ABC is an arc of a circle and ZABC =135°, then the ratio of arc ABC to the circumference, is (a) 1:4 (b) 3:4 (c) 3:8 (d) 1:2 15. The chord of a circle is equal to its radius. The' angle subtended by this chord at the minor arc of the circle, is (a) 60° (b) 75° (c) 120° (d) 150°
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