RD Sharma Solutions for Class 9 Maths are given here for Chapter 13 exercise 13.4. This exercise deals with the equations of lines parallel to the x-axis and y-axis. Any point in the form (x, 0), where x is any real number, lies on x-axis. Because y-coordinate of every point on the x-axis is zero. The equation of x-axis is y=0. Similarly the equation of y-axis is x=0 as x-co-ordinate of every point on the y-axis is zero. Students can download RD Sharma Solutions class 9 chapter 13 exercise 13.3 and practice to score good marks in the examinations.
Download PDF of RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4
Access Answers to Maths RD Sharma Class 9 Chapter 13 Linear Equations in Two Variables Exercise 13.4 Page number 13.32
Question 1: Give the geometric representations of the following equations
(a) on the number line (b) on the Cartesian plane:
(i) x = 2 (ii) y + 3 = 0 (iii) y = 3 (iv) 2x + 9 = 0 (v) 3x – 5 = 0
Solution:
(i) x = 2
The representation of equation on the number line:
The representation of equation on the Cartesian plane:
(ii) y + 3 = 0
or y = -3
The representation of equation on the number line:
The representation of equation on the Cartesian plane:
(iii) y = 3
The representation of equation on the number line:
The representation of equation on the Cartesian plane:
(iv) 2x + 9 = 0
or x = -9/2
The representation of equation on the number line:
The representation of equation on the Cartesian plane:
(v) 3x – 5 = 0
or x = 5/3
The representation of equation on the number line:
The representation of equation on the Cartesian plane:
Question 2 : Give the geometrical representation of 2x + 13 = 0 as an equation in
(i) one variable (ii) two variables
Solution:
2x + 13 = 0
(i) Isolate given equation in x
Subtract 13 from both the sides
2x + 13 – 13 = 0 – 13
2x = -13
Divide each side by 2
x = -13/2 = -6.5
Which is an equation in one variable.
(ii) 2x + 13 = 0 can be written as 2x + 0y + 13 = 0
The representation of the solution on the Cartesian plane: A line parallel to y axis passing through the point (-13/2 , 0):
RD Sharma Solutions for Class 9 Maths Chapter 13 Exercise 13.4
RD Sharma Solutions Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4 is based on topic – Equations of lines parallel to the x-axis and y-axis. Students can download RD Sharma chapter 13 exercise 13.4 solutions and practice to score good marks in the examinations.