NCERT Mathematics Class 9 Exemplar Ch 4 Linear Equations in Two Variables Part 4

Glide to success with Doorsteptutor material for CBSE : fully solved questions with step-by-step explanation- practice your way to success.

Exercise 4.2

1. The point lies on the graph of the linear equation.

Answer: True, since satisfies the equation.

2. The graph of the linear equation passes through the point.

Answer: False, since does not satisfy the equation.

3. The graph given below represents the linear equation.

Answer: .True, since and satisfy the given equation and two points determine a unique line.

4. The graph given below represents the linear equation (see Fig. 4.2).

Answer: True, since this graph is a line parallel to y-axis at a distance 3 units (to the right) from it.

5. The coordinates of points in the table:

The Coordinates of Points in the Table
The coordinates of points in the table
X	0	1	2	3	4
y	2	3	4	-5	6

Represent some of the solutions of the equation.

Answer: False, since the point does not satisfy the given equation.

6. Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.

Answer: False, since every point on the graph of the equation represents a solution.

7. The graph of every linear equation in two variables need not be a line.

Answer: False, since the graph of a linear equation in two variables is always a line.