The parametric coordinate of any point of the parabola y² = 4ax is

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Agniveer Navy SSR: 25th May 2025 Shift 2 Memory-Based Paper

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Answer 1

Calculation:

Here, the given parabola is y² = 4ax

So, its parametric coordinate is (at², 2at)

We can check it by putting the above point in the equation of parabole

L.H.S = y2

⇒ (2at)²

⇒ 4a²t²-----(i)

R.H.S = 4ax

⇒ 4 × a × at²

⇒ 4a2t2 -----(ii)

From (i) and (ii), we get

∴ (at², 2at) is the parametric coordinates of the parabola y2 = 4ax.