Test Details

Circles

Chapter no. 10

Feb 12, 11:01 AM

35 minutes

Feb 13, 11:00 AM

35.0 marks

MCQ

15 questions

KRITIKA GUPTA

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Class Details

Mathematics

9th

Mathematics

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Question Text

Question 1 :
If the radius of a circle is increased by 3 times then the diameter increases by ____times

Question 2 :
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 4 :
State the following statement is True or False If the radii of the two circles are equal, then the circles are congruent.

Question 5 :
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 6 :
If $9.2$ cm is the diameter of the circle, then its radius is

Question 7 :
State whether following statement is true or false:Every circle has a centre.

Question 8 :
For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .

Question 9 :
STATEMENT - 1 : The locus of the middle points of equal chords of a circle with centre at O is a circle with centre at O STATEMENT - 2 : The mid point of the equal chords are equidistant from the centre of the circle.

Question 10 :
$\Box ABCD$ is a cyclic quadrilateral, then the angles of the quadrilateral in the same order are:

Question 11 :
A chord of length $16$ cm is drawn in a circle at a distance of $15$ cm from its center. Find the radius of the circle.

Question 12 :
The locus of the foot of the perpendicular from the origin to chords of the circle $\mathrm{x}^{2}+\mathrm{y}^{2}-4\mathrm{x}-6\mathrm{y}-3=0$ which substend a right angle at the origin, is

Question 13 :
Chord is drawn to the circle $\displaystyle x^{2}+y^{2}-4x-2y=0$ at a point where it cuts the x-axis whose slope is parallel to the tangent at an origin. The intercept of the chord on y-axis is

Question 14 :
Read the statements given and identify the correct option. (i) Every diameter of a circle is also a chord. (ii) Every chord of a circle is also a diameter. (iii) The centre of a circle is always in its interior.

Question 15 :
Find the radius of the circle which passes through the origin, $(0, 4)$ and $(4, 0)$.

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