CBSE (Arts) Class 11CBSE
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0); Focus (3, 0) - CBSE (Arts) Class 11 - Mathematics

Question

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

Solution

Vertex (0, 0); focus (3, 0)

Since the vertex of the parabola is (0, 0) and the focus lies on the positive 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 (3, 0), a = 3.

Thus, the equation of the parabola is y2 = 4 × 3 × x, i.e., y2 = 12x

  Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 11 (with solutions)
Chapter 11: Conic Sections
Q: 9 | Page no. 247
Solution for question: Find the Equation of the Parabola that Satisfies the Following Conditions: Vertex (0, 0); Focus (3, 0) concept: Parabola - Standard Equations of Parabola. For the courses CBSE (Arts), CBSE (Science), CBSE (Commerce)
S