Class 6: Maths Chapter 11 solutions. Complete Class 6 Maths Chapter 11 Notes.
Contents
RS Aggarwal Solutions for Class 6 Maths Chapter 11–Line Segment, Ray and Line
RS Aggarwal 6th Maths Chapter 11, Class 6 Maths Chapter 11 solutions
Ex 11A Solutions
Question 1.
Solution:
Line segment
(i) In figure (i) are XY¯¯¯¯¯¯¯¯ and YZ¯¯¯¯¯¯¯
(ii) In figure (ii) AD¯¯¯¯¯¯¯¯,AB¯¯¯¯¯¯¯¯,AC¯¯¯¯¯¯¯¯,AE¯¯¯¯¯¯¯¯,BD¯¯¯¯¯¯¯¯,BC¯¯¯¯¯¯¯¯,CE¯¯¯¯¯¯¯¯
(iii) In figure (iii) PQ¯¯¯¯¯¯¯¯,PR¯¯¯¯¯¯¯¯,PS¯¯¯¯¯¯¯,QR¯¯¯¯¯¯¯¯,QS¯¯¯¯¯¯¯,RS¯¯¯¯¯¯¯
Question 2.
Solution:
(i) In fig. (i), line segments is AB¯¯¯¯¯¯¯¯, and
rays are AC−→− and BD−→−.
(ii) In fig. (ii), line segments are
GE¯¯¯¯¯¯¯¯,GP¯¯¯¯¯¯¯¯,EP¯¯¯¯¯¯¯¯ and rays are
EF−→−,GH−→−,PQ−→−
(iii) In fig. (iii), line segments are OL¯¯¯¯¯¯¯,OP¯¯¯¯¯¯¯¯
and rays are LM−→−,PQ−→−.
Question 3.
Solution:
(i) Four line segments are PR¯¯¯¯¯¯¯¯,QR¯¯¯¯¯¯¯¯,PQ¯¯¯¯¯¯¯¯,RS¯¯¯¯¯¯¯.
(ii) Four ray can be PA−→−,QC−→−,RB−→−,SD−→−
(iii) PR¯¯¯¯¯¯¯¯,QS¯¯¯¯¯¯¯ are two non-intersecting lines.
Question 4.
Solution:
(i) Three or more points in a plane are said to be collinear if they all lie on the same line.
(ii) In the figure given above, points A, B, C are collinear points.
We can draw exactly one line passing through three collinear points
Question 5.
Solution:
(i) Four pairs of intersecting lines are : (AB, PQ) ; (AB, RS) ; (CD, PQ) ; (CD, RS)
(ii) Four collinear points are : A, Q, S, B
(iii) Three non-collinear points are : A, Q, P
(iv) Three concurrent lines are : AB, PS and RS.
(v) Three lines whose point of intersection is P are : CD, PQ and PS.
Question 6.
Solution:
The lines drawn through given points A, B, C are as shown below. The names of these lines are AB, BC and AC.
Also it is clear that three different lines can be drawn.
Question 7.
Solution:
(i) In the the given figure, there are six line segments, namely AB, AC, AD, BD, BC, DC.
(ii) In the given figure, there are ten line segments, namely, AD, AB, AC, AO, OC, BC, BD, BO, OD, CD.
(iii) In the given figure, there are six line segments, namely AB, AF, BF, CD, DE, CE.
(iv) In the given figure, there are twelve line segments, namely, AB, BC, CD, AD, BF, CG, DH, AE, EF, FG, GH, EH.
Question 8.
Solution:
PQ←→ is a line
(i) False, as M does not lie on NQ−→−
(ii) True
(iii) True
(iv) True
(v) True
Question 9.
Solution:
(i) False
Point has no dimensions.
(ii) False
A line segment has a length.
(iii) False
A ray has no finite length.
(iv) False
If AB−→− and ray BA−→− have opposite directions.
(v) True
Length of AB¯¯¯¯¯¯¯¯ and BA¯¯¯¯¯¯¯¯ is same.
(vi) True
Line AB←→ and BA←→ are same.
(vii) True
Distance between A and B or B and A is same, so they determine a unique line segment.
(viii) True
Two lines intersect each other at one point.
(ix) False
Two intersecting planes intersect at one line not at one point.
(x) False
If A, B, C are collinear and points D, E are collinear then it is not necessary that there points A, B, C, D and E are collinear.
(xi) False
Infinite number of rays can be drawn with a given end point.
(xii) True
We can draw one and only one line passing through two given points.-
(xiii) True
We can draw infinite number of lines pass through a given point.
Question 10.
Solution:
(i) definite
(ii) one
(iii) no
(iv) definite
(v) cannot. Ans.
Ex 11B Solutions
Mark against the correct answer in each of following.
Question 1.
Solution:
(c) a line has no end points
Question 2.
Solution:
(b) a ray has no end points
Question 3.
Solution:
(a) a line segment has two end points
Question 4.
Solution:
(b) a line segment has definite length
Question 5.
Solution:
(b) a line segment can be drawn on a piece of paper
Question 6.
Solution:
(d) unlimited number can be drawn passing through a given point
Question 7.
Solution:
(a) one only can be drawn passing through two given points
Question 8.
Solution:
Two planes intersect in a line. (c)
Question 9.
Solution:
Two lines intersect at a point. (a)
Question 10.
Solution:
Two points in a plane determine exactly one line segment. (a)
Question 11.
Solution:
The minimum number of points of intersection of three lines in a plane is 0.(d)
Question 12.
Solution:
The maximum number of a points of intersection of three lines in a plane is 3 (d)
Question 13.
Solution:
Every line segment has a definite length. (c)
Question 14.
Solution:
Ray AB−→− not same as ray BA−→− Both are different. Hence AB−→− same as BA−→− is false.(b)
Question 15.
Solution:
An unlimited number of rays can be drawn with a given point as the initial point. (c)
RS Aggarwal Solutions for Class 6 Maths Chapter 11: Download PDF
RS Aggarwal Solutions for Class 6 Maths Chapter 11–Line Segment, Ray and Line
Download PDF: RS Aggarwal Solutions for Class 6 Maths Chapter 11–Line Segment, Ray and Line PDF
Chapterwise RS Aggarwal Solutions for Class 6 Maths :
- Chapter 1–Number System
- Chapter 2–Factors and Multiples
- Chapter 3–Whole Numbers
- Chapter 4–Integers
- Chapter 5–Fractions
- Chapter 6–Simplification
- Chapter 7–Decimals
- Chapter 8–Algebraic Expressions
- Chapter 9–Linear Equations in One Variable
- Chapter 10–Ratio, Proportion and Unitary Method
- Chapter 11–Line Segment, Ray and Line
- Chapter 12–Parallel Lines
- Chapter 13–Angles and Their Measurement
- Chapter 14–Constructions (Using Ruler and a Pairs of Compasses)
- Chapter 15–Polygons
- Chapter 16–Triangles
- Chapter 17–Quadrilaterals
- Chapter 18–Circles
- Chapter 19–Three-Dimensional Shapes
- Chapter 20–Two-Dimensional Reflection Symmetry (Linear Symmetry)
- Chapter 21–Concept of Perimeter and Area
- Chapter 22–Data Handling
- Chapter 23–Pictograph
- Chapter 24–Bar Graph
About RS Aggarwal Class 6 Book
Investing in an R.S. Aggarwal book will never be of waste since you can use the book to prepare for various competitive exams as well. RS Aggarwal is one of the most prominent books with an endless number of problems. R.S. Aggarwal’s book very neatly explains every derivation, formula, and question in a very consolidated manner. It has tonnes of examples, practice questions, and solutions even for the NCERT questions.
He was born on January 2, 1946 in a village of Delhi. He graduated from Kirori Mal College, University of Delhi. After completing his M.Sc. in Mathematics in 1969, he joined N.A.S. College, Meerut, as a lecturer. In 1976, he was awarded a fellowship for 3 years and joined the University of Delhi for his Ph.D. Thereafter, he was promoted as a reader in N.A.S. College, Meerut. In 1999, he joined M.M.H. College, Ghaziabad, as a reader and took voluntary retirement in 2003. He has authored more than 75 titles ranging from Nursery to M. Sc. He has also written books for competitive examinations right from the clerical grade to the I.A.S. level.
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