The Total solution for NCERT class 6-12
Give the geometric representation of y = 3 as anequation
(I) in one variable
(II) in two variables
Answer - 1 : -
In one variable, y = 3 represents a point as shown infollowing figure.
In two variables, y = 3 represents a straight linepassing through point (0, 3) and parallel to x-axis. It is acollection of all points of the plane, having their y-coordinate as3.
Give the geometric representations of 2x + 9 = 0 as anequation
(1) in one variable
(2) in two variables
Answer - 2 : - (1)In one variable, 2x + 9 = 0 represents a point as shown in the following figure.
(2) In two variables, 2x + 9 = 0 represents a straight linepassing through point(−4.5, 0) and parallel to y-axis. It is a collection of all pointsof the plane, having their x-coordinate as 4.5.