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

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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.

The graph given below represents the linear equation x + y = 0

Linear Equation

The graph given below represents the linear equation x + y = 0

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).

The graph given below represents the linear equation x = 3

Linear Equation

The graph given below represents the linear equation x = 3

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.

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