The directrix of the parabola 2 y^2+25 x=0 is | vedclass

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(A) Given equation of the parabola is $2 y^2+25 x=0$.Rearranging the equation,we get $2 y^2 = -25 x$.Dividing by $2$,we get $y^2 = -\frac{25}{2} x$.Co

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$8 x-25=0$

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(A) Given equation of the parabola is $2 y^2+25 x=0$.Rearranging the equation,we get $2 y^2 = -25 x$.Dividing by $2$,we get $y^2 = -\frac{25}{2} x$.Comparing this with the standard form of the parabola $y^2 = -4 a x$,we have:$4 a = \frac{25}{2}$$a = \frac{25}{8}$The equation of the directrix for the parabola $y^2 = -4 a x$ is $x = a$.Substituting the value of $a$,we get $x = \frac{25}{8}$.This can be written as $8 x = 25$,or $8 x - 25 = 0$.

The directrix of the parabola $2 y^2+25 x=0$ is $........$

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