EduSahara™ Worksheet

Question 1

1.

Which of the following statements are true?

a)	The midpoint of any diameter of a circle is its centre.
b)	The diameter divides the circle into two unequal parts.
c)	The longest of all chords of a circle is called diameter.
d)	A sector is the area enclosed by two radii and a chord.
e)	Two chords bisect each other.

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{e,b,a}

Question 2

2.

Which of the following figures represent a tangent ?

(i)

fig I
(ii)

fig II
(iii)

fig III
(iv)

fig IV
(v)

fig V

Question 3

3.

Which of the following statements are true?

a)	Atmost one tangent can be drawn through a point inside the circle.
b)	The sides of a triangle can be tangents to a circle.
c)	Two tangents to a circle always intersect.
d)	Only one tangent can be drawn through a point on a circle.
e)	Only two tangents can be drawn from a point outside the circle.

(i)

{c,d}
(ii)

{a,b,d}
(iii)

{a,c,e}
(iv)

{a,b}
(v)

{b,d,e}

Question 4

4.

The major sector of the circle is

(i)

FIG
(ii)

FHGJF
(iii)

KFHGK
(iv)

KFIGK
(v)

FIGJF

Question 5

5.

The diameters of the circle are

(i)

GB

,

GC

,

GD

,

GE

,

GF

,

DF
(ii)

GB

,

GC

,

GD

,

GE

,

GF
(iii)

DF
(iv)

BC

,

CD

,

DE

,

EF

,

FB
(v)

BC

,

CD

,

DE

,

EF

,

FB

,

DF

Question 6

6.

The centre of the circle is

(i)

B
(ii)

E
(iii)

C
(iv)

D
(v)

H

Question 7

7.

The radii of the circle are

(i)

EF

,

FG

,

GH

,

HI

,

IE

,

JE
(ii)

JE

,

JF

,

JG

,

JH

,

JI

(iii)

EF

,

FG

,

GH

,

HI

,

IE

,

GI

(iv)

EF

,

FG

,

GH

,

HI

,

IE
(v)

FG

,

GH

,

HI

,

IE

Question 8

8.

Which of the following statements are true?

a)	Exactly two tangents can be drawn parallel to a secant.
b)	Infinite circles can be drawn passing through three collinear points.
c)	Only one circle can be drawn passing through two points.
d)	Only one circle can be drawn with a centre.
e)	Atmost one circle can be drawn passing through three non-collinear points.

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{a,e}

Question 9

9.

Which of the following statements are true?

a)	A secant and a chord are same.
b)	A secant has two end points.
c)	A radius is a limiting case of a diameter.
d)	A tangent is the limiting case of a secant.
e)	A diameter is a limiting case of a chord.

(i)

{b,e}
(ii)

{a,d}
(iii)

{d,e}
(iv)

{b,e,d}
(v)

{c,a,d}

Question 10

10.

A chord of a circle divides the whole circular region into two parts, each called a

(i)

major segment
(ii)

centre
(iii)

radius
(iv)

semi-circle
(v)

segment

Question 11

11.

Half of a circle is called

(i)

diameter
(ii)

semi-circle
(iii)

circumference
(iv)

centre
(v)

segment

Question 12

12.

The minor arc of the circle is

(i)

ADB
(ii)

ACB
(iii)

FADBF
(iv)

ADBEA
(v)

FACBF

Question 13

13.

The chords of the circle are

(i)

KF

,

KG

,

KH

,

KI

,

KJ
(ii)

FG

,

GH

,

HI

,

IJ

,

JF

,

HJ
(iii)

FG

,

GH

,

HI

,

IJ

,

JF
(iv)

FG

,

GH

,

HI

,

IJ

,

JF

,

KI
(v)

GH

,

HI

,

IJ

,

JF

Question 14

14.

Which of the following statements are true?

a)	Every circle has a unique diameter.
b)	One and only one tangent can be drawn to a circle from a point outside it.
c)	Diameter of a circle is a part of the semi-circle of the circle.
d)	A secant of a circle is a segment having its end points on the circle.
e)	One and only one tangent can be drawn to pass through a point on a circle.

(i)

{b,e}
(ii)

{b,e,c}
(iii)

{a,c}
(iv)

{c,e}
(v)

{d,a,c}

Question 15

15.

The minor segment of the circle is

(i)

JMK
(ii)

JLK
(iii)

OJLKO
(iv)

JLKNJ
(v)

OJMKO

Question 16

16.

Which of the following statements are true?

a)	Every circle has a unique diameter.
b)	One and only one tangent can be drawn to a circle from a point outside it.
c)	Two semi-circles of a circle together make the whole circle.
d)	An infinite number of chords may be drawn for a circle.
e)	An infinite number of diameters may be drawn for a circle.

(i)

{a,c}
(ii)

{c,d,e}
(iii)

{a,b,e}
(iv)

{a,c,d}
(v)

{b,d}

Question 17

17.

The angle between a tangent to a circle and the radius drawn at the point of contact is

(i)

120°
(ii)

105°
(iii)

90°
(iv)

95°
(v)

100°

Question 18

18.

Find the points belonging to the inside of the circle

(i)

{L,J}
(ii)

{J,M}
(iii)

{I,L}
(iv)

{H,K}
(v)

{K,L}

Question 19

19.

Which of the following statements are true?

a)	The radius is the shortest chord.
b)	Atmost one chord can be drawn on a circle with a certain length.
c)	A chord divides a circle into two segments.
d)	The diameter is the longest chord.
e)	A chord divides a circle into two sectors.

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{a,c}
(iv)

{b,d}
(v)

{c,d}

Question 20

20.

A line segment having its end points on the circle is called a

(i)

circumference
(ii)

chord
(iii)

major segment
(iv)

diameter
(v)

radius

Question 21

21.

Which of the following figures represent a secant ?

(i)

fig IV
(ii)

fig I
(iii)

fig II
(iv)

fig V
(v)

fig III

Question 22

22.

Which of the following figures represent a diameter ?

(i)

fig II
(ii)

fig IV
(iii)

fig V
(iv)

fig I
(v)

fig III

Question 23

23.

Which of the following statements are true?

a)	The farther the chord is from the centre, the larger the angle it subtends at the centre.
b)	No two chords bisects each other.
c)	The longest chord of the circle passes through the centre of the circle.
d)	Equal length chords subtend equal angles at the centre of the circle.
e)	Equal length chords are equidistant from the centre of the circle.

(i)

{a,b,e}
(ii)

{a,c,d}
(iii)

{b,d}
(iv)

{c,d,e}
(v)

{a,c}

Question 24

24.

The major segment of the circle is

(i)

BECFB
(ii)

GBDCG
(iii)

GBECG
(iv)

BEC
(v)

BDCFB

Question 25

25.

Which of the following statements are true?

a)	A sector is the area enclosed by two radii and a chord.
b)	A circle divides the plane on which it lies into three parts.
c)	The area enclosed by a chord and its minor arc is called minor segment.
d)	The diameter divides the circle into two unequal parts.
e)	The area enclosed by a chord and its major arc is called major segment.

(i)

{d,c}
(ii)

{b,c,e}
(iii)

{a,b}
(iv)

{a,d,e}
(v)

{a,b,c}

Assignment Key