﻿ Circles NCERT Solutions | CBSE Class 9 Maths Chapter 10

1. Introduction
2. Circles and its Related Terms : A Review
3. Angle Subtended by a Chord at a Point
4. Perpendicular from the Centre to a Chord
5. Circle through Three Points
6. Equal Chords and their Distances from the Centre
7. Angle Subtended by an Arc of a Circle
9. Summary

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Chapter 10 - Circles

Course for understanding the chapter like never before!

The circle is a set of points in a plane in which the distance of a point from the centre is same as the distance of the other points from the centre. The distance between any of the points and the centre is called the radius. The diameter is double of a radius. A circle is a simple closed figure.

We, at ScoreX™, have designed a well-planned course for your Class 9 Maths Ch-10 Circles. We have created all the courses in such an interesting manner which enables you to score more.

What is the format of the course?

In the course of CBSE class 9 Maths chapter 10, we are covering all the essential points. Some of the components of this course are: -

1.     Basic definitions of circle based terms

Major definitions related to the concept of the circle are the definition of chord, arc, and sector like a piece of a circle between two points is called an arc and other definitions.

2.     Tangent to a circle

A tangent to a circle is a line that meets the circle at only one point, and there is only one tangent at a point of the circle. It is a special case of secant when the two end points of its corresponding chord coincide.

3.     Theorems of the circles

There are a number of theorems related to the circles and some important one state that the perpendicular from the centre of a circle to a chord bisects the chord and also equal chords always subtends equals angles.

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1. Q.No 1 - Look carefully for the pattern, and then choose which pair of numbers comes next 42, 40, 38, 35, 33, 31, 28

25, 22

26,23

26, 24

26,22

None

1/10
2. Q.No 2 - A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days

15 days

16 days

18 days

None

2/10
3. Q.No 3 - Look carefully for the pattern, and then choose which pair of numbers comes next 9, 16, 23, 30, 37, 44, 51

59,66

58,65

54, 61

56,62

None

3/10
4. Q.No 4 - A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

650

690

698

700

None

4/10
5. Q.No 5 - 2442 , 1222 , 614 , 312 ,163 , 90 , 55.75 Look at series carefully and find the wrong number

1222

312

90

614

None of the above

5/10
6. Q.No 6 - During World War I Germany was defeated in the Battle of Verdun on the western front and Romania declared war on the eastern front in the year

None of the above

6/10
7. Q.No 7 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

7/10
8. Q.No 8 - A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

10/21

11/21

2/7

5/7

None of the above

8/10
9. Q.No 9 - The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is

30º

45º

60º

90º

None of the above

9/10
10. Q.No 10 - The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

0

1

10

19

None of the above

10/10