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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 10 : Circles Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018
Revision
1a. Joining all the points equidistant from a fixed point gives a
a) Line
b) Parabola
c) Circle
d) None
2a. The line segment joining any two points on the circle is known as _________ of the circle.
a) radius
b) chord
c) diameter
d) all of the above
3a. Choose the correct option
a) The chord, which passes through the centre of the circle, is called a diameter of the circle
b) The diameter of the circle is the longest chord of the circle.
c) The diameter of the circle is of the same length and is double of its radius.
d) All of the above
4a. A circle can have
a) One diameter only
b) Two diameters only
c) Four diameters
d) Infinite diameter
5a. Two points on the circle divide the circle into two parts, each part is known as
a) a chord of the circle
b) an arc of the circle
c) a radius of the circle
d) a diameter of the circle
6a. The region between a chord and either of its arcs is called
a) an arc of the circle
b) a sector of the circle
c) a segment of the circle
d) chord of the circle
7a. The region between an arc and the two radii, joining the centre to the end points of the arc is called a sector.
a) an arc of the circle
b) a sector of the circle
c) a segment of the circle
d) chord of the circle
8a. The region between minor arc and a chord of a circle is known as
a) Minor segment
b) Major segment
c) Minor sector
d) Major sector
9a. The region between a major arc and the two radii, joining the centre to the end points of the arc is called a sector.
a) Minor segment
b) Major segment
c) Minor sector
d) Major sector
10a. for the figure below
a) Region A & B are the major sector and minor segment respectively.
b) Region A & B are the minor sector and major segment respectively.
c) Region A & B are the major segment and minor sector respectively.
d) Region A & B are the major segment and minor sector respectively.
11a. The center of a circle lies
a) in exterior of the circle.
b) in interior of the circle.
c) on of the circle.
d) None
12a. A point, whose distance from the center of a circle is greater than its radius lies in
a) interior of the circle
b) on the circle
c) exterior of the circle
d) None
13a. An arc of the circle whose end point lies on the diameter of the circle is known as
a) Minor arc
b) Major arc
c) Segment
d) Semicircle
14a. A circle divides the plane, on which it lies, in
a) Two parts.
b) Three parts.
c) Four parts.
d) Infinite parts.
15a. The line joining any point on the circle to its radius is known as
a) Radius of the circle
b) Diameter of the circle
c) Arc of the circle
d) Segment of the circle
16a. One can draw infinite numbers of ______ of a circle.
a) Radii
b) Chords
c) Diameters
d) All of the above
17a. In figure below, the angle subtended by chord AB on major arc is
a) ∠APB
b) ∠AQB
c) ∠AOB
d) None
18a. Choose the correct option for the two statements
X: Equal chords of a circle subtend equal angles at the centre
Y: If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
a) X is correct & Y is incorrect
b) Y is correct & X is incorrect
c) Both X & Y are correct
d) Both X & Y are incorrect
19a. Choose the correct option of the following statements
1. The perpendicular from the centre of a circle to a chord bisects the chord.
2. The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
a) 1 is correct & 2 is incorrect
b) 2 is correct & 1 is incorrect
c) Both 1 & 2 are correct
d) Both 1 & 2 are incorrect
20a. How many circles can pass through two given points?
a) One
b) Two
c) Three
d) Infinite
21a. How many circles can pass through three non-collinear points in a plane?
e) One
f) Two
g) Three
h) Infinite
22a. The circle passing through the vertices of a triangle is known as
a) Circumcircle
b) Incircle
c) Both a & b
d) None
23a. Three points A, B and C lie on an arc of circle. The center of the circle is
a) The point of intersection of line segment AB and BC
b) The point of intersection of line segment AB and AC
c) The point of intersection of line segment BC and AC
d) All of the above
24a. Two circle will intersects each other if
a) Sum of their radii is less than the distance between their centers
b) Sum of their radii is greater than the distance between their centers
c) Sum of their radii is equal to the distance between their centers
d) All of the above
25a. For two circles intersecting at two points, their centers lies on
a) Common chord
b) Bisector of the common chord
c) Line perpendicular to the common chord
d) None
Office:Silver Plaza, Opposite Kabir Colony , Anoop Shaher Road, Jamalpur Aligarh-202002, U.P-India
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 10 : Circles Answers
We are also conducting class room program for the preparation of AMU/JMI XI/Dip.Engg. Entrance Test-2018
Revision
1a. Joining all the points equidistant from a fixed point gives a
a) Line
b) Parabola
c) Circle
d) None
2a. The line segment joining any two points on the circle is known as _________ of the circle.
a) radius
b) chord
c) diameter
d) all of the above
3a. Choose the correct option
a) The chord, which passes through the centre of the circle, is called a diameter of the circle
b) The diameter of the circle is the longest chord of the circle.
c) The diameter of the circle is of the same length and is double of its radius.
d) All of the above
4a. A circle can have
a) One diameter only
b) Two diameters only
c) Four diameters
d) Infinite diameter
5a. Two points on the circle divide the circle into two parts, each part is known as
a) a chord of the circle
b) an arc of the circle
c) a radius of the circle
d) a diameter of the circle
6a. The region between a chord and either of its arcs is called
a) an arc of the circle
b) a sector of the circle
c) a segment of the circle
d) chord of the circle
7a. The region between an arc and the two radii, joining the centre to the end points of the arc is called a sector.
a) an arc of the circle
b) a sector of the circle
c) a segment of the circle
d) chord of the circle
8a. The region between minor arc and a chord of a circle is known as
a) Minor segment
b) Major segment
c) Minor sector
d) Major sector
9a. The region between a major arc and the two radii, joining the centre to the end points of the arc is called a sector.
a) Minor segment
b) Major segment
c) Minor sector
d) Major sector
10a. for the figure below
a) Region A & B are the major sector and minor segment respectively.
b) Region A & B are the minor sector and major segment respectively.
c) Region A & B are the major segment and minor sector respectively.
d) Region A & B are the major segment and minor sector respectively.
11a. The center of a circle lies
a) in exterior of the circle.
b) in interior of the circle.
c) on of the circle.
d) None
12a. A point, whose distance from the center of a circle is greater than its radius lies in
a) interior of the circle
b) on the circle
c) exterior of the circle
d) None
13a. An arc of the circle whose end point lies on the diameter of the circle is known as
a) Minor arc
b) Major arc
c) Segment
d) Semicircle
14a. A circle divides the plane, on which it lies, in
a) Two parts.
b) Three parts.
c) Four parts.
d) Infinite parts.
15a. The line joining any point on the circle to its radius is known as
a) Radius of the circle
b) Diameter of the circle
c) Arc of the circle
d) Segment of the circle
16a. One can draw infinite numbers of ______ of a circle.
a) Radii
b) Chords
c) Diameters
d) All of the above
17a. In figure below, the angle subtended by chord AB on major arc is
a) ∠APB
b) ∠AQB
c) ∠AOB
d) None
18a. Choose the correct option for the two statements
X: Equal chords of a circle subtend equal angles at the centre
Y: If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
a) X is correct & Y is incorrect
b) Y is correct & X is incorrect
c) Both X & Y are correct
d) Both X & Y are incorrect
19a. Choose the correct option of the following statements
1. The perpendicular from the centre of a circle to a chord bisects the chord.
2. The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
a) 1 is correct & 2 is incorrect
b) 2 is correct & 1 is incorrect
c) Both 1 & 2 are correct
d) Both 1 & 2 are incorrect
20a. How many circles can pass through two given points?
a) One
b) Two
c) Three
d) Infinite
21a. How many circles can pass through three non-collinear points in a plane?
e) One
f) Two
g) Three
h) Infinite
22a. The circle passing through the vertices of a triangle is known as
a) Circumcircle
b) Incircle
c) Both a & b
d) None
23a. Three points A, B and C lie on an arc of circle. The center of the circle is
a) The point of intersection of line segment AB and BC
b) The point of intersection of line segment AB and AC
c) The point of intersection of line segment BC and AC
d) All of the above
24a. Two circle will intersects each other if
a) Sum of their radii is less than the distance between their centers
b) Sum of their radii is greater than the distance between their centers
c) Sum of their radii is equal to the distance between their centers
d) All of the above
25a. For two circles intersecting at two points, their centers lies on
a) Common chord
b) Bisector of the common chord
c) Line perpendicular to the common chord
d) None
Chapter 10 : Circles Answers
1. A line can intersect a circle at at most
a) One point
b) Two points
c) Three points
d) Four Points
2. A tangent to a circle is a line that intersects the circle at
a) only one point
b) two points
c) three points
d) four points
3. How many tangents are possible passing through a point on the circle?
a) one
b) two
c) three
d) Infinite
a) One point
b) Two points
c) Three points
d) Four Points
2. A tangent to a circle is a line that intersects the circle at
a) only one point
b) two points
c) three points
d) four points
3. How many tangents are possible passing through a point on the circle?
a) one
b) two
c) three
d) Infinite
4. How
many tangents are possible passing through a point interior of the circle?
a)
zero
b)
one
c)
two
d)
three
5. How many tangents are possible passing through a point exterior of
the circle?
a)
zero
b)
one
c)
two
d)
three
6. When
the two points of intersection of a secant and the circle coincides each other,
it becomes
a)
tangent
of the circle
b)
chord
of the circle
c)
diameter
of the circle
d)
radius
of the circle
7. How
many tangents can be drawn to a circle which is parallel to each other?
a)
zero
b)
one
c)
two
d)
three
8. The
angle between radius and the tangent at point of contact is
a)
Acute
angle
b)
Right
angle
c)
Obtuse
angle
d)
All of
the above
9. Radius
of a circle is ___________ to the tangent of the circle at point of contact.
a)
inclined
b)
Parallel
c)
Normal
d)
Incline
10. The
point which is common to both, the tangent and the circle is known as
a)
Center
of the circle
b)
Exterior
point
c)
Point
of tangent
d)
Point
of Contact
11. PQ is
tangent to a circle with center O at point of contact P. if PQ = 4cm and radius
of the circle is 3cm. Find PQ.
a)
3cm
b)
4cm
c)
5cm
d)
2
12. Choose
the correct option for the below statements
X: The
lengths of tangents drawn from an external point to a circle are equal
Y: The
lengths of tangents drawn from an external point to a circle may be unequal
a)
X is
correct & Y is incorrect
b)
X is
incorrect & Y is correct
c)
Both X
& Y are correct
d)
Both X
& Y are incorrect
13. Concentric
circles are the circle with same
a)
center
b)
radius
c)
diameter
d)
all of
the above
14. In
fig below the radius of the two concentric circles with center O are 3cm and
5cm.Find AB
a)
4cm
b)
8cm
c)
6cm
d)
12cm
15. Choose
the correct option if two tangents PQ and PR are drawn to a circle with centre
O from an external point P.
a)
∠QPR =
2∠QRO
b)
∠QOR =
2∠QPR
c)
∠ORP =∠
OQP
d)
All of
the above
16. In
fig given below TP & TQ are two tangents to the circle from point T as
shown in fig. ∠PTQ =?
a)
60°
b)
65°
c)
75°
d)
80°
17. From
an exterior point Q, the length of the tangent and the distance of Q from the
centre are 5 cm and 3 respectively. The radius of the circle is
a)
3
b)
4
c)
3
d)
2
18. If
tangents PA and PB from a point P to a circle with centre O are inclined to
each other at angle of 70°, then radii OA and OB are inclined to each other at
angle of
a)
70°
b)
80°
c)
100°
d)
110°
19. The
tangents drawn at the ends of a diameter of a circle are
a)
inclined
to each other
b)
parallel
to each other
c)
coincides
with each other
d)
None
20. Choose the correct option for a quadrilateral ABCD drawn to
circumscribe a circle as shown in fig. below.
a)
AB+DC =
AD+BC
b)
AB+ AD
= DC +BC
c)
AB+ BC
= AD+ DC
d)
All of
the above
21. Choose
the correct option, if PA and QB are tangents to the circle at the ends of the
diameter and AB is tangent to the circle at point C as shown in fig. below.
a)
∠AOB
< 90°
b)
∠AOB =
90°
c)
∠AOB
> 90°
d)
90°
< ∠AOB > 180°
22. The
angle between the two tangents drawn from an external point to a circle and the
angle subtended by the line-segment joining the points of contact at the centre
are
a)
Complimentary
angle
b)
Supplementary
angle
c)
Adjacent
angles
d)
All of
the above
23. The
parallelogram circumscribing a circle is
a)
a
rhombus
b)
a
square
c)
a
rectangle
d)
None
24.
Choose the correct option for the triangle ABC circumscribing the circle as
shown in fig.
a)
AF+CE+BD=AD+BE+CF
b)
AF+CE+
CF=AD+BE+ BD
c)
AF+ BE
+BD=AD+ CE +CF
d)
All of
the above
25. The
radii of the two circles are 3.5cm and 9.5cm and their centers are 14cm apart.
The two circles intersect each other at
a)
One point
b)
Two points
c)
Three points
d)
Infinite
time
Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
# Students are welcome to discuss online, the above mention MCQs.
The discussion is free for all,appearing in XI/Dip.Engg. Entrance -2018Office:Silver Plaza, Opposite Kabir Colony , Anoop Shaher Road, Jamalpur Aligarh-202002, U.P-India
Contact Number: +91-9045756384,9548040225.
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