CBSE Questions for Class 9 Maths Circles Quiz 1 - MCQExams.com

In the above figure, $$\angle POR$$ is (there $$O$$ is centre of Circle)
353137.png
  • $$60^\circ$$
  • $$80^\circ$$
  • $$100^\circ$$
  • $$160^\circ$$
What is the sum of $$\angle{BAD}+\angle{BPR}+\angle{BCD}+\angle{BQR}$$ in the above figure?
371042_6050fbac98a94cf1963c07d5ce193d05.png
  • $$540^\circ$$
  • $$360^\circ$$
  • $$240^\circ$$
  • None of the above
In the given figure, the value of $$x$$ and $$y$$ is:

84612_7165fa5c6ca64acea30ecc506347bdc1.png
  • $$20^{\circ}$$, $$30^{\circ}$$
  • $$36^{\circ}$$, $$60^{\circ}$$
  • $$15^{\circ}$$, $$30^{\circ}$$
  • $$25^{\circ}$$, $$30^{\circ}$$
In the given figure, $$O$$ is the centre of the circle, $$\angle ACB=54^{\circ}$$ and $$BCE$$ is a straight line. Find $$x.$$

285097_d1f522e65a1d4dfdb7c4f22a6a24d0b8.png
  • $$126^{\circ}$$
  • $$54^{\circ}$$
  • $$108^{\circ}$$
  • $$90^{\circ}$$
A set of points equidistant from a fixed point in a plane figure is called
  • triangle
  • circle
  • square
  • none of these
In the given figure, $$\angle  M  = 75^{\circ}$$, then $$ \angle  O $$ is equal to:

84476_83ec4d1f786940739a1bed739957d4c5.png
  • $$105^{\circ}$$
  • $$100^{\circ}$$
  • $$85^{\circ}$$
  • $$110^{\circ}$$
Which of the following is a cyclic quadrilateral?
  • Rhombus
  • Rectangle
  • Parallelogram
  • Trapezium
If the length of the largest chord of a circle is $$17$$ cm, find the radius of a circle.
  • $$34$$ cm
  • $$8.5$$ cm
  • $$ \sqrt { 17 } $$ cm
  • $$ \sqrt { 34 } $$ cm
In fig. O is the centre of the circle. Determine $$\angle$$ AEC
344291.jpg
  • 50$$^{\circ}$$
  • 68$$^{\circ}$$
  • 22$$^{\circ}$$
  • 55$$^{\circ}$$
In the figure shown above, the radius $$OA$$ is equal to the chord $$AB$$. Then, what is $$\angle APB$$?
553166_69dba72e97b4466fa9904608a8fff9e5.png
  • $$30^{\circ}$$
  • $$60^{\circ}$$
  • $$15^{\circ}$$
  • $$45^{\circ}$$
In the adjoining figure, $$18 in$$ is the length of 
1947265_d8b11bc7b59945ad83da127ca0aec64c.png
  • Radius
  • Diameter
  • Any chord other than the diameter
  • None of these
How many circles can be drawn using given three non-collinear points?
  • 0
  • 1
  • 6
  • Infinitely
Given that $$A(1,0), B(3,6), C(2,1).$$ Can we draw a circle using points $$A,B$$ and $$C.$$
  • Yes
  • No
  • Can't say anything
  • None of these
How many circles pass through one given point?
  • 1
  • 2
  • more than 2
  • Infinitely many.
Consider a circle with center O and radius = 24cm. AB = 20cm and CD = 14cm are two chords of the circle. Which chord is farther away from the centre?
  • AB
  • CD
  • Both are equidistant from the centre
  • None of these.
How many points are sufficient to determine a circle?
  • 1
  • 2
  • 3
  • None of the above.

The centres of a set of circle,

each of radius $$ 3$$, lies on the circle $$x^2 + y^2 = 25$$. The locus of any

point in the set is
  • $$4\leq x^2+y^2\leq 64$$
  • $$ x^2+y^2\leq 25$$
  • $$ x^2+y^2\geq 25$$
  • $$3\leq x^2+y^2\leq 9$$
$$ABCD$$ is a cyclic quadrilateral such that $$AB$$ is a diameter of the circle circumscribing it and $$\displaystyle \angle ADC=140^{\circ}$$, then $$\displaystyle \angle BAC$$ is equal to:
  • $$\displaystyle 80^{\circ}$$
  • $$\displaystyle 50^{\circ}$$
  • $$\displaystyle 40^{\circ}$$
  • $$\displaystyle 30^{\circ}$$
The perpendicular from the centre of the circle _____ the chord.
  • bisects
  • trisects
  • divides in different ratios
  • None
Any cyclic parallelogram is a ______.
  • rectangle
  • rhombus
  • trapezium
  • square
An arc is a part of a circle.
  • True
  • False
In the given figure, ABCD is a cyclic quadrilateral and PQ is tangent to the circle with centre 'O'. BD is diameter, $$\angle DCQ = 40^o , \angle ABD = 60^o$$. The $$\angle BCP=$$ _______. 
728188_4f3c5f73f3ef417dab76ea1e306abdca.png
  • $$50^o$$
  • $$100^o$$
  • $$60^o$$
  • $$20^o$$
In the given figure, O is centre of the circle, then $$\angle XOZ $$ is ________.
728193_685a4fab902645e1a7b5e79ba01a7258.png
  • $$ 2 \angle X$$
  • $$ 2 \angle Y$$
  • $$ 2 \angle Z$$
  • $$2[ \angle XYZ + \angle YXZ]$$
In the diagram, O is the centre of the circle. Find the value of $$x$$.

783521_0fa347d5f58c4596b1da196733e2b5d5.png
  • $$111^o$$
  • $$123^o$$
  • $$69^o$$
  • $$49^o$$
The circumcirlce of the quadrilateral formed by the lines $$x = a,x = 2a,y =  - a,y = a$$ is 
  • $${x^2} + {y^2} - 3ax - {a^2} = 0$$
  • $${x^2} + {y^2} + 3ax + {a^2} = 0$$
  • $${x^2} + {y^2}-3ax + {a^2} = 0$$
  • $${x^2} + {y^2} + 3ax - {a^2} = 0$$
In the given figure, in $$  \square  $$ pors.if $$  \angle R S P=80^{\circ}  $$ then $$  \angle R Q T= $$____________
1426218_bb99ec19ab6447279a780b27858f079a.jpg
  • $$ 100^{\circ} $$
  • $$ 80^{\circ} $$
  • $$ 70^{\circ} $$
  • $$ 110^{\circ} $$
Two tangents $$PQ$$ and $$PR$$ drawn to the circle $$x^2+y^2-2x-4y-20=0$$ from the point $$P(16,7)$$. If is the centre of the circle, area of quadrilateral $$PQCR$$ is
  • 75
  • 80
  • 85
  • 95
In a circle of radius $$13 ~cm, PQ$$ and $$RS$$ are two parallel chords of lengths $$24 ~cm$$ and $$10~ cm$$ respectively. Calculate the distance between the chords if they are $$(i)$$ on the same side of the center and $$(ii)$$ on the opposite sides of the center.
  • $$5~cm,12~cm$$
  • $$7~cm,13~cm$$
  • $$5~cm,17~cm$$
  • $$7~cm,17~cm$$
In Fig. 2 , the measure of $$\angle B C D$$ is:
1424203_4f2fdc58bc154dc8ba93d53bb680b8ce.jpg
  • $$100 ^ { \circ }$$
  • $$70 ^ { \circ }$$
  • $$80 ^ { \circ }$$
  • $$30 ^ { \circ }$$
In a circle of radius $$2018$$ having center at $$O$$, $$OPQR$$ is a rectangle with $$Q$$ on the circumference of the circle. $$P,R$$ points inside the circle such that $$PQ=504$$. Then $$PR=$$
  • $$2018$$
  • $$504$$
  • $$252$$
  • $$\sqrt {1008} $$
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