RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equation in Two Variables Exercise 13.4 are given here. 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 the x-axis. Because the y-coordinate of every point on the x-axis is zero, the equation of the x-axis is y = 0. Similarly, the equation of the y-axis is x = 0 as the 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 in PDFs for free and practise to score good marks in the annual examinations.
RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4
Access Answers to RD Sharma Solutions for Class 9 Maths 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 the equation on the number line:
The representation of equation on the Cartesian plane:
(ii) y + 3 = 0
or y = -3
The representation of the equation on the number line:
The representation of the equation on the Cartesian plane:
(iii) y = 3
The representation of the equation on the number line:
The representation of the equation on the Cartesian plane:
(iv) 2x + 9 = 0
or x = -9/2
The representation of the equation on the number line:
The representation of the equation on the Cartesian plane:
(v) 3x – 5 = 0
or x = 5/3
The representation of the 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 the y-axis passing through the point (-13/2, 0):
RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4
RD Sharma Solutions Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.4 are based on the topic – Equations of lines parallel to the x-axis and y-axis. Students can download RD Sharma Solutions Chapter 13 Exercise 13.4 in PDFs for free and practise to score good marks in the annual examinations.
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