Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0) ; Focus (- 2, 0)

Solution:

Vertex (0, 0) ;

Focus (- 2, 0)

Since the vertex of the parabola is (0, 0)

and the focus lies on the negative x-axis, 

⇒ x-axis is the axis of the parabola, while the equation of the parabola is of the form y² = - 4ax

Since the focus is (- 2, 0),

⇒ a = 2

Thus, the equation of the parabola is y² = - 4 × 2 × x,

i.e., y² = - 8x

NCERT Solutions Class 11 Maths Chapter 11 Exercise 11.2 Question 10

Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0) ; Focus (- 2, 0)

Summary:

The equation of the parabola is y² = - 8x while the vertex of the parabola is (0, 0) and the focus lies on the negative x-axis