-
What is the equation of line passes through the point (3, 2) and make an angle of 45° with the line x – 2y = 3 ?
-
- 3 x – y – 7 = 0
- 3 x + y = 7
- x – 3y = 7
- –3x + y = 6
Correct Option: A
Let the slope of line be m
Here,
θ = 45°
| m2 = | = | ||
| - 2 | 2 |
We know that,
| 1 = | |
| 2 + 3 |
⇒ 2 + m = 2m – 1
m = 3
∴ Equation of line be
y – y1 = m(x – x1)
y – 2 = 3(x – 3)
y – 2 = 3x – 9
3x – y – 7 = 0
