NCERT solution class 9 chapter 4 Linear Equations in Two Variables exercise 4.4 mathematics

EXERCISE 4.4

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Q 1, Ex 4.4, Page No 75, Linear Equations In Two Variables, CBSE Class 9th Mathematics

Page No 77:

Question 1:

Give the geometric representation of y = 3 as an equation
(I) in one variable
(II) in two variables

Answer:

In one variable, y = 3 represents a point as shown in following figure.

In two variables, y = 3 represents a straight line passing through point (0, 3) and parallel to x-axis. It is a collection of all points of the plane, having their y-coordinate as 3.

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Q 2, Ex 4.4, Page No 77, Linear Equations In Two Variables, Class 9th Maths

Question 2:

Give the geometric representations of 2x + 9 = 0 as an equation
(1) in one variable
(2) in two variables

Answer:

(1) In one variable, 2x + 9 = 0 represents a point $x=\frac{-9}{2}=-4.5$ as shown in the following figure.

(2) In two variables, 2x + 9 = 0 represents a straight line passing through point (−4.5, 0) and parallel to y-axis. It is a collection of all points of the plane, having their x-coordinate as 4.5.

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