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CBSE Questions for Class 9 Maths Circles Quiz 6 - MCQExams.com

In the given figure, if O is centre, then external AOC=
327959_7ba15323a74e495fa456116df6d17bf9.png
  • 190
  • 160
  • 200
  • 185
In the given figure, \angle DBC=22^{\circ}\;and\;\angle DCB=78^{\circ} then \angle BAC is equal to:
324285_0cc151672f854f3eafd59f443feccd10.png
  • 90^{\circ}
  • 80^{\circ}
  • 78^{\circ}
  • 22^{\circ}
In the given figure determine the value of x.
343713_70a1fc4bbb7142968659370dc85f2bcb.png
  • 90^{\circ}
  • 115^{\circ}
  • 130^{\circ}
  • 65^{\circ}
In the given figure, CDEF is a cyclic quadrilateral, DE\;and\;CF are produced to A\;and\;B respectively such that AB\;\parallel\;CD. If \angle FED=80^{\circ}, find \angle FBA.
327990_20afa962496a4603946c831308daf3ed.png
  • 30^{\circ}
  • 60^{\circ}
  • 80^{\circ}
  • 10^{\circ}
In figure, O is centre, then \angle BXD=
327963_9f1b80238d4843c48d12d89e1bc08d98.png
  • 65^{\circ}
  • 60^{\circ}
  • 70^{\circ}
  • 55^{\circ}
In the figure, O is the center. If \angle MON=80^o, then \angle MQN equals
375653.JPG
  • 40^o
  • 160^o
  • 100^o
  • 10^o
PQ is a diameter and PQRS is a cyclic quadrilateral. If \angle PSR=150^o, then measure of \angle RPQ is:
343689.jpg
  • 90^{\circ}
  • 60^{\circ}
  • 30^{\circ}
  • None of these
ABCD is a cyclic quadrilateral inscribed in a circle with the centre O. Then \angle OAD is equal to:
328012_5dd6dfe67ff74b96a4b7a6de03da918f.png
  • 30^{\circ}
  • 40^{\circ}
  • 50^{\circ}
  • 60^{\circ}
ABCD is a cyclic quadrilateral. Then, find \angle x^{\circ} as given in the figure.
327999_79fb4d07cf164173ae6fc7ec840cbfd8.png
  • 50^{\circ}
  • 80^{\circ}
  • 90^{\circ}
  • 100^{\circ}
In the given figure, the value of 'a' is:
328027_f52192642db64ad7b4881e5e7e739937.png
  • 30^{\circ}
  • 40^{\circ}
  • 60^{\circ}
  • 90^{\circ}
In the circle, reflex \angle AOC=x^o, \angle ABC=y^o. OABC is a parallelogram, then find y.
340171.png
  • 80^o
  • 120^o
  • 110^o
  • Data insufficient
Find \angle ASR.
327995_75ca8a8900ff435097d1e38d23ba0e27.png
  • 52^{\circ}
  • 78^{\circ}
  • 102^{\circ}
  • 10^{\circ}
In the given figure, PQRS is a cyclic quadrilateral. Its diagonals PR and QS intersect each other at T. If \angle PRS=80^{\circ}\;and\;\angle RQS=50^{\circ}, calculate \angle PSR.
327976_958b284dda4446ddacd651e56258750b.png
  • 30^{\circ}
  • 50^{\circ}
  • 70^{\circ}
  • 90^{\circ}
In figure, \angle BAC = 60^{\circ} and \angle BCA = 20^{\circ} , find \angle ADC.
344276_ea1988e5a0a24d0f8609c94d41d18258.png
  • 15^{\circ}
  • 50^{\circ}
  • 80^{\circ}
  • 40^{\circ}
In the figure, \angle B is equal to:
372300_c7ecbe018724447f8407826358a6b82f.png
  • 85^0
  • 95^0
  • 70^0
  • 115^0
In the figure above, if O is the centre of the circle, find the value of y.
344283_c7f3772411a045568893df3760a6dd2b.png
  • 40^{\circ}
  • 70^{\circ}
  • 60^{\circ}
  • 30^{\circ}
In a cyclic quadrilateral ABDC,\,\angle CAB=80^{\circ} and \angle ABC=40^{\circ}. The measure of the \angle ADB will be?
  • 120^{\circ}
  • 80^{\circ}
  • 60^{\circ}
  • 40^{\circ}
In fig, a is the centre of the circle. If \angle BOD 160^{\circ}  find the values of x and y.
344271.jpg
  • 80^{\circ}, 100^{\circ}
  • 135^{\circ}, 45^{\circ}
  • 140^{\circ}, 40^{\circ}
  • 120^{\circ}, 60^{\circ}
One of the base angle a cyclic trapezium is double the other. What is the measure of the larger angle?
  • 60^0
  • 80^0
  • 75^0
  • 120^0
Find x.
343716_0cc5293281cf4efb98110abc6546ad71.png
  • 40^{\circ}
  • 50^{\circ}
  • 30^{\circ}
  • 60^{\circ}
ABCD is cyclic quadrilateral. The tangents to a circle at A and C meet at P. If \angle APC = 50^{\circ} , then the value of \angle ADC is:
  • \displaystyle 65^{\circ}
  • \displaystyle 70^{\circ}
  • \displaystyle 80^{\circ}
  • none of these
If O is the centre of the circle and A, B and C are points on its circumference and \angle AOC = 130^{\circ}, find \angle ABC.
343731.jpg
  • 105^{\circ}
  • 115^{\circ}
  • 110^{\circ}
  • 120^{\circ}
ABCD is a cyclic quadrilateral, in which BC is parallel to AD, \displaystyle\angle ADC=\displaystyle 110^{\circ} and \displaystyle \angle BAC=50^{\circ}. What is the value of \displaystyle \angle DAC?
377047_7ce7b111fd1d4c39bf173342c841535b.png
  • \displaystyle 40^{\circ}
  • \displaystyle 50^{\circ}
  • \displaystyle 60^{\circ}
  • \displaystyle 64^{\circ}
In the given figure, AB=AC and \displaystyle \angle ABC=68^{\circ}, what is the value of \displaystyle \angle BPC?
377022_e030f7435363408f95b2cfef3b6a2164.png
  • \displaystyle 40^{\circ}
  • \displaystyle 42^{\circ}
  • \displaystyle 44^{\circ}
  • \displaystyle 48^{\circ}
In the given figure, BD=DC and \displaystyle \angle DBC=30^{\circ} what is the value of \displaystyle \angle BAC?
377039_fd925d56f0e14e738d8e993ca1891cca.png
  • \displaystyle 40^{\circ}
  • \displaystyle 50^{\circ}
  • \displaystyle 60^{\circ}
  • \displaystyle 65^{\circ}
What is the value of  \displaystyle \angle ABC ?
376673_4e5fd71b33374ccbb1f0b35315a3b5e5.png
  • \displaystyle 105^{o}
  • \displaystyle 110^{o}
  • \displaystyle 115^{o}
  • \displaystyle 120^{o}
ABCD is a cyclic trapezium and  \displaystyle  AB\parallel CD . If AB is the diameter of the circle and  \displaystyle  \angle CAB=30^{\circ}   ,  then the value of  \displaystyle \angle ADC is:
  • \displaystyle 110^{\circ}
  • \displaystyle 115^{\circ}
  • \displaystyle 120^{\circ}
  • \displaystyle 125^{\circ}
Find the value of x from the given figure in which O is the center of the circle
379546_3564bdc55feb45e9bd24d6c020138ede.png
  • \displaystyle  x=50^{\circ}
  • \displaystyle  x=60^{\circ}
  • \displaystyle  x=80^{\circ}
  • \displaystyle  x=90^{\circ}
Find the values of y and z, where O denotes the centre of the circle.
426755.png
  • y=70^o and z=35^o
  • y=290^o and z=145^o
  • y=145^o and z=290^o
  • y=35^o and z=70^o
In given figure, BC is a diameter of the circle and \displaystyle \angle BAO=60^{\circ}\,. Then\,\angle ADC is equal to
426578_bccd8460d0774bee9e7c410b39aa6e60.png
  • \displaystyle 30^{\circ}
  • \displaystyle 45^{\circ}
  • \displaystyle 60^{\circ}
  • \displaystyle 120^{\circ}
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