Question
Find: the co-ordinates of the focus and the vertex, the equations of axis, tangent at the vertex and directrix, the length of latus rectum of the parabola.
Solution
It is equation of a parabola in the standard form and open towards
Comparing with
Co-ordinates of focus are (0, -a) =
Co-ordinates of vertex are (0, 0)
Equation of axis is x = 0 (y-axis)
Equation of tangent at origin is y = 0 (x-axis)
Equation of directrix is y - a = 0 or
Length of latus -rectum = 4a =
Co-ordinates of vertex are (0, 0)
Equation of axis is x = 0 (y-axis)
Equation of tangent at origin is y = 0 (x-axis)
Equation of directrix is y - a = 0 or
Length of latus -rectum = 4a =