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CBSE Questions for Class 9 Maths Circles Quiz 8 - MCQExams.com

The shaded portion of the circle represents
1947267_d161effae9514db8b3ced8876e3b4a97.png
  • Semicircle
  • Diameter
  • A sector of the circle
  • Segment
In the given figure, ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle passing through A,B,C and D. If ADC=130o, find BAC.

726071_389881f021a9422c92a31401f3725836.png
  • 45o
  • 58o
  • 60o
  • 40o
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its centre. If the distance between AB and CD is 6 cm, find the radius of the circle. 
  • 552
  • 1152
  • 553
  • 532
A circle (with centre at O) is touching two intersecting lines AX and BY. The two points of contact A and B subtend an angle of 65 at any point C on the circumference of the circle. If P is the point of intersection of the two lines, then the measure of APB is
  • 50
  • 65
  • 90
  • 40
In the figure given below, if AOP=75 and AOB=120, then what is AQP ?
903805_4eb67d77f0eb4001ba44afb6cfd4c7cf.png
  • 45
  • 37.5
  • 30
  • 22.5
BD is a chord parallel to the diameter AC of a circle. A point B is on the perimeter of the circle such that angle CBE=63o. The angle DCE is equal to:
  • 63o
  • 36o
  • 31.5o
  • 27o
In a cyclic quadrilateral ABCD, twice the measure of \angle A is thrice the measure of \angle C, find the measure of \angle C.
  • 36^{o}
  • 72^{o}
  • 90^{o}
  • 108^{o}
Quadilateral ABCD is cyclic. If \angle B = 60^o, then \angle D = ____.
  • 30^o
  • 100^o
  • 120^o
  • 90^o
In the given figure, AD=BC, \angle BAC={ 30 }^{ o } and \angle CBD={ 70 }^{ o }. Find \angle BCD.
1102149_862519cad2354a29b97ea5bd32abdbf8.png
  • 80^0
  • 30^0
  • 70^0
  • None of these
A chord divides a circle into two
  • Diameter
  • Semicircle
  • Sectors
  • Segments
The quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic.
  • True
  • False
In the diagram above, O is the centre of the circle. The value of x is
1161722_ae73237e87024a1d8bd19dbd87a827bc.png
  • 100
  • 140
  • 150
  • 160
In the given figure, O is the centre of the circle .What is the value of x?
1153882_e0e46181630044c88f1b6b8a17bcba37.PNG
  • 115^o
  • 125^o
  • 155^o
  • 230^o
If the perimeter and the area of a circle are numerically equal, then the radius of the circle is
  • 2\ units
  • p\ units
  • 4\ units
  • 7\ units
Given: In a circle with chords AP = BP
           arc\ AP=arc\ PB
1183076_50a93f53b781431182f432264117b7dc.png
  • True
  • False
The sum of the angles in the four segments exterior to a cyclic quadrilateral is equal to 8 right angles.
  • True
  • False
In the figure ,O is the center of the circle. The value of (2a + b + C) in
1174026_b99170ebc23c4a97aad659333a4087c1.png
  • {192^ \circ }
  • {180^ \circ }
  • {278^ \circ }
  • {266^ \circ }
In the figure given, O is the center of the circle, if \angle PAB=108^{o}, then find \angle BCQ.
1211407_b30cdaf3071e4517af4e90ce415fce2f.png
  • 152^{\circ}
  • 120^{\circ}
  • 150^{\circ}
  • 162^{\circ}
  • None of these
In the given quadrilateral PQRS , if \angle RSP = {80}^{0} , then \angle  RQT= ____.
1274609_8467bfc44b2b4a1f987775cf33af4e20.png
  • {100}^{0}
  • {80}^{0}
  • {70}^{0}
  • {110}^{0}
An arc subtends an angle of 45^{o} in its alternate segment then the angle made by its corresponding major arc is at the centre 
  • 270^{o}
  • 90^{o}
  • 45^{o}
  • 315^{o}
Look at the given figure having O as the center of the circle and find the value of a and b.
1300486_64141ccde44c49ef85af1fe581ec1a3f.PNG
  • a=55^\circ & b=40^\circ
  • a=40^\circ & b=55^\circ
  • a=45^\circ & b=55^\circ
  • a=40^\circ & b=50^\circ
BC is the diameter of a circle. Points A and D are situated on the circumference of the semi circle \angleABD=35^o and \angleBCD=60^o, \angleADB equal to?
1343017_6b40dbd60f504bac822b81d21018a5fc.PNG
  • 20^o
  • 25^o
  • 30^o
  • 115^o
In the given circle, AD=BC,\angle BAC={30}^{o} and \angle CBD={70}^{o}
Find
(i)\,\angle BCD
(ii)\,\angle BCA
(iii)\,\angle ABC
(iv)\,\angle ADB

1375529_e026218a8ac84077b2232808b97757cb.png
  • (i)\,50^\circ\,(ii)\,80^\circ\,(iii)\,50^\circ\,(iv)\,100^\circ
  • (i)\,80^\circ\,(ii)\,50^\circ\,(iii)\,100^\circ\,(iv)\,50^\circ
  • (i)\,80^\circ\,(ii)\,130^\circ\,(iii)\,100^\circ\,(iv)\,50^\circ
  • None of these
In the adjoining figure, in \triangle OAM \ and \ \triangle OBM,
                        OA = OB
                        AM = BM
                        OM = OM
\triangle OAM \ \cong \ \triangle OBM 
What can you conclude?

1949257_283d75c40906490f85aabef2aeb82c5d.png
  • \angle OMA = \angle OMB \not= 90
  • \angle OMA = \angle OMB = 90
  • \angle AOB = 90
  • None of the above
In figure, O is the centre of the circle, then 
1346532_86e87cef9123428ea26caeab9bea99ae.png
  • \angle x= \angle y+ \angle z
  • \angle y= \angle x+ \angle z
  • \angle z= \angle x+ \angle y
  • none\ of\ these
ABCD is a cyclic quadrilateral such that \angle ADB=30^{o} and \angle DCA=80^{o}, then \angle DAB=?
  • 70^{o}
  • 100^{o}
  • 150^{o}
  • 125^{o}
The geometric shape that has no corners is _____.
  • square
  • circle
  • rectangle
  • hexagon
State whether following statement is true or false:
The nearer a chord to the centre of a circle, the longer is its length.
  • True
  • False
Write True or False and justify your answer in each of the following : 
ABCD is a cyclic quadrilateral such that \angle A = 90^{\circ} , \angle B = 70^{\circ} , \angle C = 95^{\circ} and \angle D = 105^{\circ} .
  • True
  • False
Four alternative answers for the following question is given. Choose the correct alternative.
In a cyclic quadrilateral \,ABCD, twice the measure of \angle A is thrice the measure of \angle C. Find the measure of \angle C?
  • 36
  • 72
  • 90
  • 108
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