CBSE Questions for Class 9 Maths Circles Quiz 7 - MCQExams.com

In given figure, if $$\displaystyle \angle OAB$$ = $$\displaystyle 40^{\circ},$$ then $$\displaystyle \angle ACB$$ is equal to:
426551_87647954633e42c893b19ab66b2cbaf8.png
  • $$\displaystyle 50^{\circ}$$
  • $$\displaystyle 40^{\circ}$$
  • $$\displaystyle 60^{\circ}$$
  • $$\displaystyle 70^{\circ}$$
In the figure above AQ = CT and $$\displaystyle \angle QAC=70^{\circ}$$ Find $$\displaystyle \angle ACT$$
395317_59ce7b6fdac043d392194bbbfc8280da.png
  • $$\displaystyle 70^{\circ}$$
  • $$\displaystyle 80^{\circ}$$
  • $$\displaystyle 90^{\circ}$$
  • $$\displaystyle 110^{\circ}$$
In a cyclic trapezium ABCD, $$\angle{A}=100^\circ$$. Then, $$\angle{D}$$ is equal to:
390664.png
  • $$80^\circ$$
  • $$90^\circ$$
  • $$100^\circ$$
  • $$110^\circ$$
For a $$\triangle PQR$$ with points $$P, Q$$ and $$R$$ lying on a circle, if  $$RP$$ is the diameter of the circle and $$PQ = 5\ cm$$ and $$QR = 12\ cm$$. Find radius of the circle. 
  • $$6.5\ cm$$
  • $$6\ cm$$
  • $$8\ cm$$ 
  • $$5.5\ cm$$
For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .
  • 6 cm 
  • 3 cm
  • 4 cm
  • 8 cm
Find the values of the x and y, where O denotes the centre of the circle.
426759.png
  • $$x = 55^°, y = 155^°$$
  • $$x = 50^°, y = 155^°$$
  • $$x = 155^°, y = 55^°$$
  • None of these
Find the values of $$x, y$$ and $$z$$, where $$O$$ denotes the centre of the circle.
426758.png
  • $$x=30^o, y=90^o$$ and $$z=135^o$$
  • $$x=45^o, y=90^o$$ and $$z=270^o$$
  • $$x=30^o, y=60^o$$ and $$z=270^o$$
  • $$x=45^o, y=90^o$$ and $$z=345^o$$
Find the values of $$x$$ and $$y$$.
426763_575d8a63d72e476d92fa0be1aaef1767.png
  • $$x-y=180^o$$
  • $$x+y=180^o$$
  • $$x=121^o$$ and $$y=68^o$$
  • $$x=68^o$$ and $$y=121^o$$
In the given figure, $$ST$$ is a tangent to the circle with centre $$O$$, at $$S$$.
Find the value of $$x$$.
533828_2344d8f57f754628b56afe192a1f052f.png
  • $$10^o$$
  • $$40^o$$
  • $$45^o$$
  • $$55^o$$
Given a circle with the center indicated, find $$x.$$
426749.gif
  • $$100^°$$
  • $$80^°$$
  • $$50^°$$
  • $$40^°$$
$$ABCD$$ is a cyclic quadrilateral with $$AD$$ parallel to $$BC$$. $$\angle DCB = 65^o$$. The magnitude of $$\angle CBE$$ is:

426866_f70751fb28a9400b85ec42bb979fc3b6.png
  • $$100^o$$
  • $$110^o$$
  • $$115^o$$
  • $$120^o$$
The portion of a circle between two radii and an arc is called  
  • Sector
  • Segment
  • Chord
  • Secant
Find $$PM$$ if $$PQ=8 \ cm$$
452495_a9b8f30d38c94cf8a9c680d2f767b37f.png
  • $$3 cm$$
  • $$4 cm$$
  • $$5 cm$$
  • $$8 cm$$
Find the value of $$x$$ and $$y$$.

471764.png
  • $$x=150^o, y=120^o$$
  • $$x=120^o, y=150^o$$
  • $$x=100^o, y=130^o$$
  • $$x=130^o, y=100^o$$
Find the measure of $$\widehat{AOB}$$.

474043.PNG
  • $$100^\circ$$
  • $$104^\circ$$
  • $$102^\circ$$
  • $$103^\circ$$
Angle $$ANB =$$ Angle $$AOB =$$ Angle $$AMB = ?$$

474050.PNG
  • $$45^o$$
  • $$55^o$$
  • $$180^o$$
  • $$90^o$$
In the figure given above, what is $$\angle BYX$$ equal to?
553165_9f15bcf35ff348b2b06d1d009d4a9b75.png
  • $$85^{\circ}$$
  • $$50^{\circ}$$
  • $$45^{\circ}$$
  • $$90^{\circ}$$
In the given figure, $$O$$ is the centre of the circle and $$\angle QPR = x^{\circ}; \angle ORQ = y^{\circ}$$. Which statement is true about $$x^{\circ}$$ and $$y^{\circ}$$?
509010_14bf02f1b5e645289202786015a20ca1.png
  • $$x^{\circ} + y^{\circ} = 120^{\circ}$$
  • $$x^{\circ} + y^{\circ} = 180^{\circ}$$
  • $$x^{\circ} + y^{\circ} = 90^{\circ}$$
  • $$x^{\circ} + y^{\circ} = 150^{\circ}$$
$$A,B,C,D$$ are four distinct points on a circle whose centre is at $$O$$.
If $$\angle OBD-\angle CDB=\angle CBD-\angle ODB$$, then what is $$\angle A$$ equal to ?
  • $${45}^{o}$$
  • $${60}^{o}$$
  • $${120}^{o}$$
  • $${135}^{o}$$
What is the relation between '$$p$$' and '$$q$$'?

508877.png
  • $$q = 2p$$
  • $$p = 2q$$
  • $$p = q$$
  • $$q > p$$
Quadrilateral $$ABCD$$ and $$ECBA$$ are inscribed in a circle. If $$\angle B={ 125 }^{ \circ },$$ find the measure of $$\angle E.$$

508624_5a013311c2af497296c54937c6ecef1f.png
  • $${ 55 }^{ \circ }$$
  • $${ 125 }^{ \circ }$$
  • $${ 130 }^{ \circ }$$
  • $${ 62.5 }^{ \circ }$$
Given that $$BC=CD$$, what is the value of $$x$$?
507895_0c395098472246ba8fdf795b29fc03f8.png
  • $${ 50 }^{ o }$$
  • $${ 55 }^{ o }$$
  • $${ 60 }^{ o }$$
  • $${ 65 }^{ o }$$
In the given figure, if $$\angle AOB = 125^{\circ}$$ find the measure of $$\angle COD$$
507145_3650421b5238471886d0cfc20154aa67.png
  • $$62.5^{\circ}$$
  • $$45^{\circ}$$
  • $$35^{\circ}$$
  • $$55^{\circ}$$
If one angle of cyclic quadrilateral is $$70^o$$, then the angle opposite to it is:
  • $$20^o$$
  • $$110^o$$
  • $$140^o$$
  • $$160^o$$
In a cyclic quadrilateral $$ABCD$$, $$\angle A=5x, \angle C=4x$$, the value of $$x$$ is:
  • $$12^o$$
  • $$20^o$$
  • $$48^o$$
  • $$36^o$$
Draw a circle with centre O and radius $$2.5$$cm. Draw a chord $$AB$$ passing through its centre. The $$\angle AOB$$ is:
  • $$180^o$$
  • $$270^o$$
  • $$90^o$$
  • $$0^o$$
In the given figure, $$\Delta$$ABC is an isosceles triangle with AB$$=$$AC and $$\angle$$ABC$$=50^o$$. Find $$\angle$$BDC and $$\angle$$BEC respectively.
726064_84346d0a18bc4619b8fe3336df577318.png
  • $$100^o, 60^o$$
  • $$50^o, 120^o$$
  • $$60^o, 80^o$$
  • $$80^o, 100^o$$
In the given figure, $$O$$ is the centre of the circle, Reflex $$\angle AOB=260^\circ$$. $$C$$ is a point on the minor arc $$AB$$ of the circle. Find $$\angle ACB$$.
725947_cc49660dad7048cf91cb88323d0c2855.png
  • $$100^\circ$$
  • $$150^\circ$$
  • $$80^\circ$$
  • $$130^\circ$$
The sum of pairs of opposite angles of a cyclic quadrilateral is:
  • $${360}^{o}$$
  • $${90}^{o}$$
  • $${180}^{o}$$
  • $${60}^{o}$$
In the adjacent figure, if $$\angle AOC = 110^0$$, then the value of $$\angle D\ and \angle B$$ respectively.
902935_72f210e5ff3849f783cc9bb897862334.png
  • $$55^0, 125^0$$
  • $$55^0, 110^0$$
  • $$110^0, 25^0$$
  • $$125^0, 55^0$$
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