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M03 U04 Geometry

Total questions: 36

Worksheet time: 9hrs 0mins

Name
Class
Date
1.

The set of points of the circle \cap the set of points inside the circle N = ..................

a)
the circle N
b)
the surface of the circle N
c)
the circumference of the circle N
d)

ϕ\phi

2.

The chord which passes through the center of a circle is called a .........

a)
tangent.
b)
secant.
c)
radius.
d)

diameter

3.
If M is a circle of diameter length 6 cm. A is a point on the circle, then MA =
a)
3 cm.
b)
4 cm.
c)
5 cm.
d)
6 cm.
4.
AB is a diameter of the circle whose centre is the origin point, if A=(2,0), then B =
a)
(2,2)
b)
(0,-2)
c)
(-2,0)
d)
(-2,2)
5.
The number of symmetry axes of the circle is
a)
1
b)
2
c)
3
d)
an infinite number.
6.

If AB \overline{AB}\ \cap the circle M={A,B}, then AB \overleftarrow{A}\overrightarrow{B}\ \cap is the surface of the circle M=

a)
{A,B}
b)

AB\overline{AB}

c)

BA\overrightarrow{BA}

d)

AB\overrightarrow{AB}

7.
The area of the circle whose diameter length is 2 cm. =
a)
1
b)
2
c)
3.14
d)
3
8.
The radius length of the circle whose area is 25 π cm² is
a)
5
b)
-5
c)
25
d)
4
9.
A circle of circumference 6π cm and the straight line L is distant from its centre by 3 cm. Then L is
a)
a tangent.
b)
a secant.
c)
outside the circle.
d)
a diameter.
10.

A circle of circumference 20π20\pi cm, then its area is .................. π cm2\pi\ cm^2

a)
10
b)
100
c)
200
d)
400
11.

A circle M of radius length r cm., then the length of the semicircle equals .............. cm

a)

2πr2\pi r

b)

14πr\frac{1}{4}\pi r

c)

12πr\frac{1}{2}\pi r

d)

πr\pi r

12.
A chord of length 6 cm. is drawn in a circle of diameter length 10 cm., then the distance
a)
2 cm.
b)
5 cm.
c)
3 cm.
d)
4 cm.
13.

If MA, MB are two perpendicular radii of the circle M, the area of Δ AMB\Delta\ AMB = 8 cm², then the radius length of the circle equals

a)
8 cm.
b)
16 cm.
c)
4 cm.
d)
2 cm.
14.
If the side length of the square = 10 cm., then the area of the circle =
a)

100π100\pi

b)

50π50\pi

c)

25π25\pi

d)

40π40\pi

15.
The center of a circle is the origin, its radius length is 7 cm., which of the following points is not on the circle?
a)
(0,7)
b)
(0,-7)
c)
(7,0)
d)
(7,7)
16.
If the diameter length of the circle M is 7 cm., MA = 4 cm., then A lies...
a)
inside the circle.
b)
outside the circle.
c)
on the circle.
d)
otherwise.
17.

If the straight line L is a tangent of the circle M whose diameter length is 8 cm., then L is at ........... cm from the circle.

a)
3
b)
4
c)
6
d)
8
18.
If the length of the perpendicular drawn from the centre of the circle M to the straight line L is 6 cm. and the diameter length of the circle equals 6 cm., then L is ... the circle.
a)
a secant to
b)
a tangent to
c)
outside
d)
passing through the center of
19.

If M is a circle of radius length r, MA \vec{MA}\text{ }\perp the straight line L where MA  L = {A}\vec{MA}\text{ }\cap\ L\ =\ \left\{A\right\} , MA>r , then L is ...................

a)
a tangent to the circle.
b)
a diameter in the circle.
c)
outside the circle.
d)
a secant to the circle.
20.

A circle with radius length (2x+6) cm\left(2x+6\right)\ cm . the straight line L is at a distance (x+2)\left(x+2\right) from its centre where x>0x>0 then the straight line L is

a)
outside the circle.
b)
a tangent to the circle.
c)
a secant to the circle.
d)
passing through the centre of the circle.
21.
The two tangents of a circle at the two end points of a diameter of it are
a)
equal in length.
b)
parallel.
c)
intersecting.
d)
perpendicular.
22.

If the circle M M\ \cap the circle N={A,B}N=\left\{A,B\right\} then the two circles are ..................

a)
distant.
b)
concentric.
c)
touching externally.
d)
intersecting.
23.

The axis of symmetry of the common chord AB\overline{AB} of the two intersecting circles M and N is............

a)

MA\overleftarrow{M}\overrightarrow{A}

b)

MB\overleftarrow{M}\overrightarrow{B}

c)

MN\overleftarrow{M}\overrightarrow{N}

d)

NA\overleftarrow{N}\overrightarrow{A}

24.

The line of centers of two intersecting circles is perpendicular to ............... and bisects it.

a)
the diameter
b)
the chord
c)
the common chord
d)
the tangent
25.

The circles M and N of two radii lengths 5 cm, and 3 cm. respectively if MN=8 cm. then the two circles are

a)
touching internally,
b)
intersecting.
c)
touching externally.
d)
distant.
26.

If the two circles M and N are touching externally and the radius length of one of them is 4 cm. and MN=6 cm. then the radius length of the other circle equals

a)
6 cm.
b)
10 cm.
c)
2 cm.
d)
4 cm.
27.
Two circles, the lengths of their radii are 3 cm. and 7 cm. are touching then the distance between their centres
a)

]4 , 10[

b)

]10, \infty [

c)

] 0,40,4 [

d)

{4,10}

28.

M and N are two circles touching externally, the radius length of the circle M = 4 cm., if MN = 7 cm. , then the circumference of the circle N equals ................... cm

a)

4π4\pi

b)

6π6\pi

c)

7π7\pi

d)

π\pi

29.

If M and N are two circles touching internally, their radii lengths are 5 cm, r cm., r>5, MN= 3 cm. then r = ......................cm.

a)

6

b)

8

c)

7

d)

9

30.

M and N are two circles, their radii lengths are 8 cm. and 6 cm, the two circles are distant if MN............. 14 cm

a)

>

b)

<

c)

=

31.

lf M and N are two circles touching internally and their radii lengths are 5 cm. and 9 cm, then MN = ........... cm

a)

14

b)

4

c)

5

d)

9

32.
The number of symmetry axes of the circle is
a)
1
b)
2
c)
3
d)
an infinite number.
33.

The number of circles passing through three collinear points is .............

a)

0

b)

1

c)

3

d)

an infinite number.

34.

It is impossible to draw a circle passing through the vertices of............

a)

a triangle.

b)

a square

c)

a rhombus

d)

a rectangle.

35.

The center of the circumcircle of a triangle is the point of intersection of.............

a)

the bisectors of its interior angle

b)

the bisectors of its exterior angles.

c)

its altitudes

d)

the axes of symmetry of its sides.

36.

If A and B are two points in the plane, AB =7 cm., then the diameter length of the smallest circle which passes through the two points A and B equals ............... cm

a)

3

b)

3.5

c)

7

d)

14