#### Chapters

Chapter 2: Exponents of Real Numbers

Chapter 3: Rationalisation

Chapter 4: Algebraic Identities

Chapter 5: Factorisation of Algebraic Expressions

Chapter 6: Factorisation of Polynomials

Chapter 7: Linear Equations in Two Variables

Chapter 8: Co-ordinate Geometry

Chapter 9: Introduction to Euclid’s Geometry

Chapter 10: Lines and Angles

Chapter 11: Triangle and its Angles

Chapter 12: Congruent Triangles

Chapter 13: Quadrilaterals

Chapter 14: Areas of Parallelograms and Triangles

Chapter 15: Circles

Chapter 16: Constructions

Chapter 17: Heron’s Formula

Chapter 18: Surface Areas and Volume of a Cuboid and Cube

Chapter 19: Surface Areas and Volume of a Circular Cylinder

Chapter 20: Surface Areas and Volume of A Right Circular Cone

Chapter 21: Surface Areas and Volume of a Sphere

Chapter 22: Tabular Representation of Statistical Data

Chapter 23: Graphical Representation of Statistical Data

Chapter 24: Measures of Central Tendency

Chapter 25: Probability

#### RD Sharma Mathematics Class 9 by R D Sharma (2018-19 Session)

## Chapter 9: Introduction to Euclid’s Geometry

#### Chapter 9: Introduction to Euclid’s Geometry Exercise 9.10 solutions [Page 8]

Define the following terms:

Line segment

Define the following term :

Collinear points

Define the following terms :

Parallel lines

Define the following term:

Intersecting lines

Define the following term

Concurrent lines

Define the following term

Ray

Define the following term :

Half-line

How many lines can pass through a given point?

In how many points can two distinct lines at the most intersect?

Given two points P and Q, find how many line segments do they deter-mine.

Name the line segments determined by the three collinear points P, Q and R.

Write the truth value (T/F) of each of the following statements:

Two lines intersect in a point.

Write the truth value (T/F) of each of the following statements:

Two lines may intersect in two points

Write the truth value (T/F) of each of the following statements

A segment has no length.

Write the truth value (T/F) of each of the following statements:

Two distinct points always determine a line.

Write the truth value (T/F) of each of the following statements

Every ray has a finite length.

Write the truth value (T/F) of each of the following statements:

A ray has one end-point only.

Write the truth value (T/F) of each of the following statement:

A segment has one end-point only.

Write the truth value (T/F) of each of the following statements

The ray AB is same as ray BA.

Write the truth value (T/F) of each of the following statement:

Only a single line may pass through a given point.

Write the truth value (T/F) of each of the following statements:

Two lines are coincident if they have only one point in common.

In the below fig., name the following:

(i) five line segments.

(ii) Five rays.

(iii) Four collinear points.

(iv) Two pairs of non-intersecting line segments.

Fill in the blank so as to make the following statement true:

Two distinct points in a plane determine a ________ line.

Fill in the blank so as to make the following statement true:

Two distinct ________ in a plane cannot have more than one point in common.

Fill in the blank so as to make the following statement

Geven a line and a point, not on the line, there is one and only__ __line pwahsiscehs through the given point and is__ __to the given line.

Fill in the blank so as to make the following statement

A line separates a plane into__ __parts namely the and the__ __itself.

#### Chapter 9: Introduction to Euclid’s Geometry solutions [Page 9]

How many least number of distinct points determine a unique line?

How many lines can be drawn through both of the given points?

How many lines can be drawn through a given point.

In how many points two distinct lines can intersect?

In how many points a line, not in a plane, can intersect the plane?

In how many points two distinct planes can intersect?

In how many lines two distinct planes can intersect?

How many least number of distinct points determine a unique plane?

Given three distinct points in a plane, how many lines can be drawn by joining them?

How many planes can be made to pass through a line and a point not on the line?

How many planes can be made to pass through two points?

How many planes can be made to pass through three distinct points?

## Chapter 9: Introduction to Euclid’s Geometry

#### RD Sharma Mathematics Class 9 by R D Sharma (2018-19 Session)

#### Textbook solutions for Class 9

## RD Sharma solutions for Class 9 Mathematics chapter 9 - Introduction to Euclid’s Geometry

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Concepts covered in Class 9 Mathematics chapter 9 Introduction to Euclid’s Geometry are Concept for Euclid’S Geometry, Euclid’S Definitions, Axioms and Postulates, Equivalent Versions of Euclid’S Fifth Postulate.

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