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Circle

Nov 13, 10:00 PM

30 minutes

Nov 13, 10:30 PM

30.0 marks

MCQ

30 questions

Abhishek Kumar

Class Details

Mathematics

Class ix

Mathematics

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Question Text

Question 1 :
A wire is in the form of a circle of radius-28 cm, then the side of the square into which it can be bent is

Question 3 :
The minute hand ofa clock is 14 cm long. How much distance does the end of the minute handtravel in 15 minutes? $\displaystyle\left(Take\:\pi=\frac{22}{7}\right)$

Question 4 :
If the line $hx + ky = 1$ touches $x^2 + y^2 = a^2$, then the locus of the point (h, k) is a circle of radius

Question 7 :
There are $15$ radial spokes in a wheel, all equally inclined to one another. Then there are two spokes which

Question 8 :
Coordinates of the centre of the circle which bisects the circumferences of the circles $x^{2}+y^{2}=1:\x^{2}+y^{2}+2x-3=0$ and $x^{2}+y^{2}+2y-3=0$ is

Question 10 :
What is the volume in cubic cm of a pyramid whose area of the base is $25 \,sq\,cm$ height $9cm$?

Question 11 :
What is the center of a circle whose equation is (x - 1)$\displaystyle ^{2}$ + (y+3)$\displaystyle ^{2}$=25?

Question 12 :
A chord of a circle is 12 cm in length and its distance from the centre is 8 cm. Find the length of the chord of the same circle which is at a distance of 6 cm from the centre.

Question 13 :
Two chords of lengths 16 cm and 17 cm are drawn perpendicular to each other in circle of radius 10 cm. The distance of their point of intersection from the centre is approximately

Question 14 :
The ratio between the diameters of two circles is $3 : 5,$ then find the ratio between their circumferences.

Question 15 :
If $\bar { PQ } $ is the diameter of a circle whose center is $R$. If the coordinates of $P$ are $(4,8)$ and $(8,4)$, what are the coordinates of $R$?

Question 16 :
Draw a circle and any two of its diameters. If you join the ends of these diameters, and if the diameters are perpendicular to each other the figure formed is a Rhombus

Question 17 :
If the radius of a circle is increased by 3 times then the diameter increases by ____times

Question 18 :
State the following statement is True or False If the radii of the two circles are equal, then the circles are congruent.

Question 19 :
ACB is tangent to a circle at C. CD and CE are chords such that $\angle ACE > \angleACD$. If $\angle ACD = \angle BCE = 50^{\circ}$, then which is correct answer?

Question 20 :
Line segment joining the centre to any point on the circle is a radius of the circle.

Question 21 :
If one angle in a semi circle is$30$, then the other two angles are

Question 22 :
In a circle with centre O, $OD\bot$chord AB. If BC is the diameter, then

Question 23 :
The radius of the circle of least size that passes through $(-2, 1)$ and touches both axes is?

Question 25 :
What is the radius of a circular field whose area is equal to the sum of the areas of three smaller circular fields of radii $12m, 9m$ and $8m$ respectively?

Question 26 :
Chords AC and BD of a circle intersect each other then the figure ABCD formed will be

Question 27 :
The Chord of contact of tangents from a point $P$ to a circle passes through $Q$. If $l_1$ and $l_2$ are the lengths of the tangents from $P$ and$Q$ to the circle, then$PQ$ is equal to

Question 28 :
The _________ of a circle is the distance from the centre to the circumference.

Question 29 :
If $(x, 3)$ and $(3, 5)$ are the extremities of a diameter of a circle with centre at $(2, y)$, then the value of $x$ and $y$ are

Question 30 :
Consider the following statements and identify which are correct: i) A secant to a circle can act as a chord. ii) A chord cannot be a secant to the circle.

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