Question

A line has slope $m$ and $ y- $ intercept $4$. The distance between the origin and the line is equal to

• A. $ \frac{4}{\sqrt{1-{{m}^{2}}}} $
• B. $ \frac{4}{\sqrt{{{m}^{2}}-1}} $
• C. $ \frac{4}{\sqrt{{{m}^{2}}+1}} $
• D. $ \frac{4m}{\sqrt{1+{{m}^{2}}}} $
• E. $ \frac{4m}{\sqrt{m-1}} $

Answer 1

Answer: (C)

Equation of line is $ y=mx+4 $
$ \therefore $ Required distance $ =\frac{4}{\sqrt{1+{{m}^{2}}}} $