Question

The length intercepted by the straight line $y=mx+c$ between the coordinate axes is:

• A. $\frac{c}{m}\sqrt{1+m^2}$
• B. $\frac{c}{m}$
• C. $\sqrt{1+m^2}$
• D. $Noneofthese$

Answer 1

Answer: (A)

$\frac{c}{m}\sqrt{1+m^2}$

(Image )

Length intercepted

$=\sqrt{\frac{c^2}{m^2}+c^2}$

$=c\sqrt{\frac{1+m^2}{m^2}}=\frac{c}{m}\sqrt{1+m^2}$