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

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

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\frac{c}{m}

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\sqrt{1 + m^{2}}

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Solution

The correct option is B $\frac{c}{m} \sqrt{1 + m^{2}}$
(Image )
Length intercepted
$= \sqrt{\frac{c^{2}}{m^{2}} + c^{2}}$
$= c \sqrt{\frac{1 + m^{2}}{m^{2}}} = \frac{c}{m} \sqrt{1 + m^{2}}$

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