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.
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:
| 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.