Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0); Focus (3, 0)

Solution:

Given that:

Vertex (0, 0) ;

Focus (3, 0)

Since the vertex of the parabola is (0, 0) and the focus lies on the positive x-axis,

the x-axis is the axis of the parabola,

while the equation of the parabola is of the form y² = 4ax

Since the focus is (3, 0), a = 3

Thus,

the equation of the parabola is y² = 4 × 3 × x,

i.e., y² = 12x

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.2 Question 9

Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0); Focus (3, 0)

Summary:

The equation of the parabola is y² = 12x while the vertex of the parabola is (0, 0) and the focus is (3, 0)