NCERT Mathematics Class 9 Exemplar Ch 4 Linear Equations in Two Variables Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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 = …

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

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
X01234
y234-56

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.