RD Sharma Class 9 Solutions Chapter 7 Exercise 7.4 (Updated for 2024)

RD Sharma Class 9 Solutions Chapter 7 Exercise 7.4: If you are looking for a good help book for your Class 9 Maths exam, then start studying RD Sharma Solutions Class 9 Maths. There are solutions designed as per the current CBSE Syllabus. Subject matter experts have made sure that you understand RD Sharma Class 9 Solutions Chapter 7 Exercise 7.4. To know more, read the whole blog. 

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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
(i) on the number line

(ii) x = 2 is a line parallel to the 7-axis at a distance of 2 units to the right of the y-axis.

(ii) y = -3 is a line parallel to the x-axis at a distance of 3 units below the x-axis.

(iii) y = 3
(i) y = 3

(ii) y = 3 is a line parallel to the x-axis at a distance of 3 units above the x-axis.


x = -4.5 is a line parallel to the 7-axis at a distance of 4.5 units to the left of the y-axis.


(ii) x = 123 is a line parallel to the y-axis at a  distance of 123 units to the right side of the y-axis.

Question 2.
Give the geometrical representation of 2x + 13 = 0 as an equation in
(i) One variable
(ii) Two variables
Solution:
(i) In one variable,
2x + 13 = 0
⇒ 2x = – 13
⇒ x = −132

is a line parallel to the y-axis at a distance of -6 12 units on the left side of the y-axis.

Question 3.
Solve the equation 3x + 2 = x -8, and represent on
(i) the number line
(ii) the Cartesian plane.
Solution:
3x + 2 = x – 8
⇒  3x – x = -8 – 2
⇒  2x = -10
⇒  x = −102 = -5
(i) on the number line s = -5

(ii) x = -5 is a line parallel to the y-axis at a distance of 5 knots left of the y-axis.

Question 4.
Write the equal of the line that is parallel to the x-axis and passes through the points.
(i) (0, 3)                     
(ii)  (0, -4)
(iii) (2, -5)                     
(iv)    (3, 4)
Solution:
∵  A line parallel to the x-axis will be of the type y = a
∴ (i) y = 3
(ii) y = -4
(iii) y = -5 and y = 4 are equations of the lines parallel to the x-axis

Question 5.
Write the equation of the line that is parallel to the y-axis and passing through the points.
(i) (4, 0)                      
(ii) (-2, 0)
(iii) (3, 5)                    
(iv) (-4, -3)
Solution:
∵  A line parallel to the y-axis will be of type x = a
∴  (i) x = 4, (ii)  x = -2, x = 3 and x = -4 are the equations of the lines parallel to the y-axis.

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