Equation of directrix of y2=10x is
Answer (1)
23rd Dec, 2020
Dear student,
Thedirectrixis perpendicular line to the axis of symmetry of a parabola and does not touch the parabola. It is equal to the distance that focus make from the origin but in opposite direction.
For a parabola having the equation as y^2 = 4ax
The equation of directrix is x = -a
Now the equation of the parabola is given as y^2 = 10x
So comparing it with standard form, we get 4a=10
Therefore a = 5/2
So, the equation of directrix for y^2 = 10x is
x = - 5/2
Thedirectrixis perpendicular line to the axis of symmetry of a parabola and does not touch the parabola. It is equal to the distance that focus make from the origin but in opposite direction.
For a parabola having the equation as y^2 = 4ax
The equation of directrix is x = -a
Now the equation of the parabola is given as y^2 = 10x
So comparing it with standard form, we get 4a=10
Therefore a = 5/2
So, the equation of directrix for y^2 = 10x is
x = - 5/2
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