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 to the right.Comparing it with
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we have 
∴ Co-ordinate of focus are S (a, 0) 
Co-ordinates of vertex are (0, 0)
Equation of axis of parabola is y = 0 (x-axis).
Equation of tangent at the origin is x = 0 (y-axis).
Equation of directrix is x + a = 0 or
Latus rectum = 4a =
Co-ordinates of vertex are (0, 0)
Equation of axis of parabola is y = 0 (x-axis).
Equation of tangent at the origin is x = 0 (y-axis).
Equation of directrix is x + a = 0 or
Latus rectum = 4a =
