Question

A straight the makes an angle of $135 ^ { \circ }$with the x–axis and cuts y–axis at a distance – 5 from the origin. The equation of the line is.

• A. $2 x + y + 5 = 0$
• B. $x + 2 y + 3 = 0$
• C. $x + y + 5 = 0$
• D. $x + y + 3 = 0$

Answer 1

Answer: (C)

$x + y + 5 = 0$

Answer 2

$\because y = m x + c$ ⇒ $y = \left( \tan 135 ^ { \circ } \right) x - 5$

⇒ $y = - x - 5 \Rightarrow x + y + 5 = 0$.