Question
Question: If (0, 6) and (0, 3) are respectively the vertex and focus of a parabola, then its equation is –...
If (0, 6) and (0, 3) are respectively the vertex and focus of a parabola, then its equation is –
A
x2 + 12y = 72
B
x2 – 12y = 72
C
y2 + 12x = 72
D
y2 – 12x = 72
Answer
x2 – 12y = 72
Explanation
Solution
̃ (x – x1)2 = – 4a(y – y1)
A(x1,y1) = (0, 6)
a = AS = 3
̃ x2 = – 4(3) (y – 6)
̃ x2 = – 12 (y – 6)