Question

Statement (1): The graph of 2x − 5 = 0 is a line parallel to y-axis.

Statement (2): When the equations of lines are of the form x = ± k (a constant), the lines are parallel to y-axis.

Options

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Both the statements are true.

Explanation:

The equation 2x − 5 = 0 can be rewritten as \[x = \frac{5}{2}\], which is of the form x = ± k. Such lines are vertical lines parallel to the y-axis. Therefore, both Statement 1 and Statement 2 are true, and Statement 2 correctly explains Statement 1.