Also, the curve obtained when y=x2 is plotted on a graph forms a parabola. A parabola has an axis of symmetry. For a parabola which does not have its vertex at the origin, but at some point, say (h,b), the quadratic function, representing it becomes:
4a(x-h)=(y-b)2 . For a parabola centered around the y-axis, the vertex lies at the origin.
The below table enlists the formulae to find the focus, axis of symmetry, directrix, and equation of a parabola centered at a point (m,n).
Axis of Symmetry
The important questions on Parabola for JEE Advanced includes finding the locus of certain points on trisection, questions from double ordinate types of a parabola, etc. JEE Advanced 2020 aspirants need to practice sums of parabola, for scoring high in the conic section. The below PDF consists of Parabola important questions for JEE Advanced 2020 and is free to download as well.
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