Question

Equations of the two straight lines passing through the point (3, 2) and making an angle of $45 ^ { \circ }$ with the line $x - 2 y = 3$ are.

• A. $3 x + y + 7 = 0$ and $x + 3 y + 9 = 0$
• B. $3 x - y - 7 = 0$ and $x + 3 y - 9 = 0$
• C. $x + 3 y - 7 = 0$ and $x + 3 y - 9 = 0$
• D. None of these

Answer 1

Answer: (B)

$3 x - y - 7 = 0$ and $x + 3 y - 9 = 0$

Answer 2

Slope of given line is

Thus $\tan 45 ^ { \circ } = \pm \frac { m - \frac { 1 } { 2 } } { 1 + m \cdot \frac { 1 } { 2 } }$ ⇒ $m = \pm 3$ .

Hence option (2) is correct.