Find the equation of the line which is at right angles to $3x + 4y =12$, such that its perpendicular distance from the origin is equal to the length of the perpendicular from $(3, 2)$ on the given line. How to solve this?
Asked
Active
Viewed 26 times
-1
-
1Please show how you started with the slopes, what equation of lines you chose and so on. – Narasimham Oct 03 '20 at 22:50
1 Answers
0
hint
The equation of the line $ P $ which is perpendicular to the line $ D $ whose equation is $$ax+by=c$$ will be $$P : bx-ay=d $$
The perpendicular distance from a point $ (\alpha,\beta) $ to the line $ D $ is
$$\frac{|a\alpha+b\beta-c|}{\sqrt{a^2+b^2}}.$$
hamam_Abdallah
- 62,951