If $(0, 0)$ be the vertex and $3 x - 4 y + 2 = 0$ be the directrix of a parabola, then the length of its latus rectum is

4 / 5

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2 / 5

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8 / 5

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1 / 5

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Solution

The correct option is B $8 / 5$
Distance of vertex from directrix = $\frac{| 3 (0) - 4 (0) + 2 |}{\sqrt{3^{2} + 4^{2}}} = \frac{2}{5} = a$

Length of latus rectum = $4 a = \frac{8}{5}$

$∴$ Option C is correct

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