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

#### Chapters ## Chapter 9: Introduction to Euclid’s Geometry

Exercise 9.1Others
Exercise 9.1 [Page 8]

### RD Sharma solutions for Mathematics for Class 9 Chapter 9 Introduction to Euclid’s Geometry Exercise 9.1 [Page 8]

Exercise 9.1 | Q 1.1 | Page 8

Define the following terms:

Line segment

Exercise 9.1 | Q 1.2 | Page 8

Define the following term :

Collinear points

Exercise 9.1 | Q 1.3 | Page 8

Define the following terms :

Parallel lines

Exercise 9.1 | Q 1.4 | Page 8

Define the following term:

Intersecting lines

Exercise 9.1 | Q 1.5 | Page 8

Define the following term

Concurrent lines

Exercise 9.1 | Q 1.6 | Page 8

Define the following term

Ray

Exercise 9.1 | Q 1.7 | Page 8

Define the following term :

Half-line

Exercise 9.1 | Q 2.1 | Page 8

How many lines can pass through a given point?

Exercise 9.1 | Q 2.2 | Page 8

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

Exercise 9.1 | Q 3.1 | Page 8

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

Exercise 9.1 | Q 3.2 | Page 8

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

Exercise 9.1 | Q 4.01 | Page 8

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

Two lines intersect in a point.

Exercise 9.1 | Q 4.02 | Page 8

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

Two lines may intersect in two points

Exercise 9.1 | Q 4.03 | Page 8

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

A segment has no length.

Exercise 9.1 | Q 4.04 | Page 8

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

Two distinct points always determine a line.

Exercise 9.1 | Q 4.05 | Page 8

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

Every ray has a finite length.

Exercise 9.1 | Q 4.06 | Page 8

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

A ray has one end-point only.

Exercise 9.1 | Q 4.07 | Page 8

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

A segment has one end-point only.

Exercise 9.1 | Q 4.08 | Page 8

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

The ray AB is same as ray BA.

Exercise 9.1 | Q 4.09 | Page 8

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

Only a single line may pass through a given point.

Exercise 9.1 | Q 4.1 | Page 8

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

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

Exercise 9.1 | Q 5 | Page 8

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.

Exercise 9.1 | Q 6.1 | Page 8

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

Two distinct points in a plane determine a ________ line.

Exercise 9.1 | Q 6.2 | Page 8

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.

Exercise 9.1 | Q 6.3 | Page 8

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.

Exercise 9.1 | Q 6.4 | Page 8

Fill in the blank so as to make the following statement

A line separates a plane into                              parts namely the and the                  itself.

[Page 9]

### RD Sharma solutions for Mathematics for Class 9 Chapter 9 Introduction to Euclid’s Geometry [Page 9]

Q 1 | Page 9

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

Q 2 | Page 9

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

Q 3 | Page 9

How many lines can be drawn through a given point.

Q 4 | Page 9

In how many points two distinct lines can intersect?

Q 5 | Page 9

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

Q 6 | Page 9

In how many points two distinct planes can intersect?

Q 7 | Page 9

In how many lines two distinct planes can intersect?

Q 8 | Page 9

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

Q 9 | Page 9

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

Q 10 | Page 9

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

Q 11 | Page 9

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

Q 12 | Page 9

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

## Chapter 9: Introduction to Euclid’s Geometry

Exercise 9.1Others ## RD Sharma solutions for Mathematics for Class 9 chapter 9 - Introduction to Euclid’s Geometry

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Concepts covered in Mathematics for Class 9 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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