Question

Question 9 Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0); focus (3, 0)

Class X1 - Maths -Conic Sections Page 247

Answer 1

concept : if vertex ( 0, 0) and focus ( a , 0) than parabola symmetric with respect y axis and equation of parabola will be of the form
y² = 4ax

Here, focus ( 3, 0) = ( a , 0)
hence, a = 3

now, equation of parabola
y² = 4ax
y² = 4 × 3 × x
y² = 12x