Equation of line passing through origin and making $30^\circ$, $60^\circ$ and $90^\circ$ with x, y, z axes respectively, is ______.

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Equation of line passing through origin and making $30^\circ$, $60^\circ$ and $90^\circ$ with x, y, z axes respectively, is `underlinebb((2x)/sqrt(3) = (2y)/1 = z/0)`. Explanation: Here, direction cosines of the line are l = cos $30^\circ$, m = cos $60^\circ$, n = cos $90^\circ$ l = sqrt(3)/2, m = $\frac{1}{2}$, n = 0 Here, line passes through the point (0, 0, 0). So, the required equation of line is `(x - 0)/(sqrt(3)/2) = (y - 0)/($\frac{1}{2}$) = (z - 0)/0 \implies (2x)/sqrt(3) = (2y)/1 = z/0`

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