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

In the given figure, if $$O$$ is centre, then external $$\angle AOC=$$
327959_7ba15323a74e495fa456116df6d17bf9.png
  • $$190^{\circ}$$
  • $$160^{\circ}$$
  • $$200^{\circ}$$
  • $$185^{\circ}$$
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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