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(B) The direction cosines of a line are given as $l = \frac{1}{c}$,$m = \frac{1}{c}$,and $n = \frac{1}{c}$.We know that for any line,the sum of the sq

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$c = \pm \sqrt{3}$

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(B) The direction cosines of a line are given as $l = \frac{1}{c}$,$m = \frac{1}{c}$,and $n = \frac{1}{c}$.We know that for any line,the sum of the squares of its direction cosines is always equal to $1$,i.e.,$l^2 + m^2 + n^2 = 1$.Substituting the given values,we get:$\left( \frac{1}{c} \right)^2 + \left( \frac{1}{c} \right)^2 + \left( \frac{1}{c} \right)^2 = 1$$\frac{1}{c^2} + \frac{1}{c^2} + \frac{1}{c^2} = 1$$\frac{3}{c^2} = 1$$c^2 = 3$$c = \pm \sqrt{3}$.

If the direction cosines of a line are $\left( \frac{1}{c}, \frac{1}{c}, \frac{1}{c} \right)$,then

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