# 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 y^{2} = 4ax

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

Thus,

the equation of the parabola is y^{2} = 4 × 3 × x,

i.e., y^{2} = 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 y^{2} = 12x while the vertex of the parabola is (0, 0) and the focus is (3, 0)

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