Question

How far is the line 3x - 4y + 15 = 0 from the origin?

• A. $1$
• B. $2$
• C. $3$
• D. $4$
• E. Answer Required

Answer 1

The correct option is C $3$

Distance of $O(0,0)$ from the line $3x-14y+15=0$ is

$=>r=\frac{|3\left(0\right)-4\left(0\right)+15|}{\sqrt{3^3+4^2}}$

$=>r=\frac{15}{\sqrt{25}}$

$=>r=\frac{15}{5}$

$=>r=3$