RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1 (Updated For 2023)

RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1: Download the Free PDF of RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1 from the link given in this blog. In this exercise, students will study some basic geometric concepts such as point, line and plane. It is necessary to clear your doubts from the core and for that, you can always rely on RD Sharma Solutions Class 9 Maths. To know more, read the whole blog. 

Download RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1 PDF

RD Sharma Class 9 Solutions for Chapter 7 Exercise 7.1

Access answers of RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1

Question 1: Define the following terms.

(i) Line segment

(ii) Collinear points

(iii) Parallel lines

(iv) Intersecting lines

(v) Concurrent lines

(vi) Ray

(vii) Half-line

Solution:

(i) Line segment: The part of a line that connects two points or we can say that the shortest distance between the two points. A line segment is one-dimensional.

Here AB is a line segment.

(ii) Collinear points: Two or more points are said to be collinear if all the points lie on the same line.

(iii) Parallel lines: Two lines in a plane are said to be parallel lines if they do not intersect each other.

Here l and m are parallel lines.

(iv) Intersecting lines: Two lines are intersecting if they have a common point. The common point is known as the point of intersection.

Here l and M are intersecting lines. And P is the point of intersection.

(v) Concurrent lines: Two or more lines are said to be concurrent if there is a point that lies on all of them.

Here l, m, and n are concurrent lines.

(vi) Ray: A straight line extending from a point indefinitely in one direction only.

Here OA is a ray.

(vii) Half-line: If A, B. C be the points on a line l, such that A lies between B and C, and we delete the point A from line l, the two parts of l that remain are each called a half-line.

Question 2:

(i) How many lines can pass through a given point?

(ii) At how many points can two distinct lines at the most intersect?

Solution:

(i) Infinitely many

(ii) One

Question 3:

(i) Given two points P and Q. Find how many line segments they determine.

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

Solution:

(i) One

(ii) PQ, QR, PR

Question 4: Write the truth value (T/F) of each of the following statements:

(i) Two lines intersect at a point.

(ii) Two lines may intersect at two points.

(iii) A segment has no length.

(iv) Two distinct points always determine a line.

(v) Every ray has a finite length.

(vi) A ray has one end-point only.

(vii) A segment has one end-point only.

(viii) The ray AB is the same as ray BA.

(ix) Only a single line may pass through a given point.

(x) Two lines are coincident if they have only one point in common

Solution:

(i) False

(ii) False

(iii) False

(iv) True

(v) False

(vi) True

(vii) False

(viii) False

(ix) False

(x) False

Question 5: In the below figure, name the following:

(i) Five line segments

(ii) Five rays

(iii) Four collinear points

(iv) Two pairs of non–intersecting line segments

Solution:

(i) Five line segments AB, CD, AC, PQ. DS

(ii) Five rays :

(iii) Four collinear points. C, D, Q, S

(iv) Two pairs of non–intersecting line segments AB and CD, PB and LS.

Question 6: Fill in the blanks so as to make the following statements true:

(i) Two distinct points in a plane determine a _____________ line.

(ii) Two distinct ___________ in a plane cannot have more than one point in common.

(iii) Given a line and a point, not on the line, there is one and only _____________ line which passes through the given point and is _______________ to the given line.

(iv) A line separates a plane into _________ parts namely the __________ and the _____ itself.

Solution:

(i) unique

(ii) lines

(iii) perpendicular, perpendicular

(iv) three, two half-planes, line.

This is the complete blog on RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1. To know more about the CBSE Class 9 Maths exam, ask in the comments.

FAQs on RD Sharma Class 9 Solutions Chapter 7 Exercise 7.1