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
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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Question
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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