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Question

Question: Any point on the parabola whose focus is (0, 1) and the directrix is x + 2 = 0 is given by –...

Any point on the parabola whose focus is (0, 1) and the directrix is x + 2 = 0 is given by –

A

(t2 + 1, 2t – 1)

B

(t2 + 1, 2t + 1)

C

(t2, 2t)

D

(t2 – 1, 2t + 1)

Answer

(t2 – 1, 2t + 1)

Explanation

Solution

(x – 0)2 + (y – 1)2 =

Ž (y – 1)2 = 4 (x + 1)\x=t2–1 and y=2t+1 are the parametric equations of the parabola.