Question

The perpendicular distance of the origin from the lines $2x+5y=20$ and $5x+2y=20$ are same.

• A. True
• B. False

Answer 1

The correct option is A True

The perpendicular distance of the origin form the line $2x+5y=20$ is $\left|\frac{2.0+5.0-20}{\sqrt{2^2+5^2}}\right|=\frac{20}{\sqrt{29}}$.

Aain the perpendicular distance of the origin form the line $5x+2y=20$ is $\left|\frac{5.0+2.0-20}{\sqrt{5^2+2^2}}\right|=\frac{20}{\sqrt{29}}$.

So the distances are same.