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.