NCERT Class 9 Solutions: Linear Equation In Two Variables (Chapter 4) Exercise 4.4 – Part 2

Give Candidate Geometric representations like End points,Point + Orientation,Slope Intercept, Polar From

Give Candidate Geometric Representations

Give Candidate Geometric representations like End points,Point + Orientation,Slope Intercept, Polar From

Q-2 Give the geometric representation of Equation as and equation,

  1. in one variable

  2. in two variables.

Solution:

  • Equation of Equation in one variable

Equation

The representation of Equation on the number line is as show below:

Give geometric representation of given equation for one variable

Give Geometric Representation of Given Equation for 2x+9=0

Give geometric representation of given equation for one variable

  • In two variable Equation can be written as Equation

    It is a linear equation in two variable Equation and Equation . It is best to represent this line on a plane- the coordinate plane. Note that all the values of Equation are permissible because Equation is always Equation . However, Equation must satisfy the relation Equation . That is, y- coordinates of the points on this line don’t matter as long as their x-coordinate Equation . Understood this way, it is a line parallel to y axis passing through x = Equation

  • Two possible points on this line can be Equation

  • So plotting point Equation and joining them we get the graph AB as a line papallel to Equation at a distance of Equation on the left Equation .

    Geometric representation of line parallel to y axis

    Geometric Representation of Equation 2x+9=0

    Geometric representation of line parallel to y axis

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