Question

The equation of the line passing through the origin and making an angle of ${135}^{\circ }$ with the axis of x will be ___________.

• A. $x-y=0$
• B. $2x=y$
• C. $x+y=0$
• D. $\sqrt{2x}+\sqrt{3y}=0$

Answer 1

The correct option is C $x+y=0$

We know that, the equation of line
y=mx+cy=mx+c
Given θ=135∘θ=135∘
∴n=−1∴n=−1
So, the required equation of the line
y=−1×x+0⟹x+y=0