Question:

The line 2x - y = 1 bisects the angle between two lines. If the equation of one line is y = x, then the equation of the other line is

WBJEE

Updated On: Sep 22, 2024

7x - y - 6 = 0
x - 2y + 1 = 0
3x - 2y - 1 = 0
x - 7y + 6 = 0

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The Correct Option is B

Solution and Explanation

Explanation:
Let the equation of the Other line be

x - 2 y + 1 = 0

∴

Equation of bisecting the lines between two lines is

\begin{array}{l} \frac{2 x - y - 1}{\sqrt{4 + 1}} = \pm \frac{x - 2 y + 1}{\sqrt{1 + 4}} \\ \Rightarrow 2 x - y - 1 = \pm x - 2 y + 1 \\ \Rightarrow x + y - 2 = 0 and x = y \end{array}

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