If the lines and are inclined at an angle to each other, then the value of will be
Explanation for the correct option.
Step 1: Find the slope of the given lines.
In the question, the lines and are given.
We know that the slope-intercept form of a line is . where is the general point on the line, is the slope of the line and is the intercept.
So, the slope of the line is .
And the slope of the line is .
Step 2: Find the value of .
We know that, if and are the slopes of two line and is the angle between them, then .
Since the angle between the given lines is and the slopes of the lines are and .
So,
When the left-hand side is equal to .
When the left-hand side is equal to .
Therefore, the values of are and .
Hence, option (C) is the correct answer.