Class 9: Maths Chapter 3 solutions. Complete Class 9 Maths Chapter 3 Notes.
Contents
RS Aggarwal Solutions for Class 9 Maths Chapter 3–Introduction to Euclid’s Geometry
RS Aggarwal 9th Maths Chapter 3, Class 9 Maths Chapter 3 solutions
Question 1.
Solution:
A theorem is a statement that requires a proof while an axiom is the basic fact which is taken for granted without proof.
Question 2.
Solution:
(i) Line segment: The straight line between two points A and B is a called a line segment AB¯¯¯¯¯¯¯¯
(ii) Ray : A line segment AB¯¯¯¯¯¯¯¯ when extended indefinitely is one direction is called a ray AB−→− It has no definitely length.
(iii) Intersecting lines : Two lines having one common point are called intersecting lines and the common point is called the point of intersection.
(iv) Parallel Lines : If two lines lying in the same plane do not intersect each other when produced on either side, then these two lines are called parallel lines. The distance between two parallel hues always remains the same.
(v) Half line : If we take a point P on a line AB←→, its divides the line into two parts. Each part is called half line or two ray i.e. PA−→− and PB−→− .
(vi) Concurrent lines : Three or more lines intersecting at the same point are called concurrent lines.
(vii) Collinear points : Three or more points lying on the same line are called collinear points.
(viii) Plane : A plane is a surface such that every point of the line joining any two points on it, lies on it.
Question 3.
Solution:
(i) Six points are : A, B, C, D, E and F
(ii) Five line segments are : EG¯¯¯¯¯¯¯¯, FH¯¯¯¯¯¯¯¯, EF¯¯¯¯¯¯¯¯, GH¯¯¯¯¯¯¯¯ and MN¯¯¯¯¯¯¯¯¯¯
(iii) Four rays are : EP−→− , GR−→−,GB−→− and HD−→−
(iv) Four lines are : AB−→−,CD−→−,PQ−→− and RS−→
(v) Four collinear points are M, E, G, B. Ans
Question 4.
Solution:
(i) EF←→ and GH←→ is a pair of intersecting line whose point of intersection is R
and second pair of intersecting lines is AB←→ and CD←→ and point of intersection is P.
(ii) Three concurrent lines are AB←→, EF←→ and GH←→ and the point of intersection is R.
(iii) Three rays are RB←→,RH←→ and RG←→
(iv) Two line segments are RQ←→ and RP←→
Question 5.
Solution:
(i) Through a given point, infinitely many lines can be drawn.
(ii) Only one line can be drawn to pass through two given points.
(iii) Two lines can intersect each other at the most one point
(iv) A, B and C are three collinear points. Then the line segments will be AB¯¯¯¯¯¯¯¯, BC¯¯¯¯¯¯¯¯ and AC¯¯¯¯¯¯¯¯.
Question 6.
Solution:
(iv), (vi), (vii), (viii) and (ix) are true and others are not true.
RS Aggarwal Solutions for Class 9 Maths Chapter 3: Download PDF
RS Aggarwal Solutions for Class 9 Maths Chapter 3–Introduction to Euclid’s Geometry
Chapterwise RS Aggarwal Solutions for Class 9 Maths :
- Chapter 1–Real Numbers
- Chapter 2–Polynomials
- Chapter 3–Introduction to Euclid’s Geometry
- Chapter 4–Lines and Triangles
- Chapter 5–Congruence of Triangles and Inequalities in a Triangle
- Chapter 6–Coordinate Geometry
- Chapter 7–Areas
- Chapter 8–Linear Equations in Two Variables
- Chapter 9–Quadrilaterals and Parallelograms
- Chapter 10–Area
- Chapter 11–Circle
- Chapter 12–Geometrical Constructions
- Chapter 13–Volume and Surface Area
- Chapter 14–Statistics
- Chapter 15–Probability
About RS Aggarwal Class 9 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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