JEE Main 2023
Conic Sections
Parabola
Easy
Question
If the -intercept of a focal chord of the parabola is 3, then the length of this chord is equal to ____________.
Answer: 2
Solution
This solution will guide you through finding the length of a focal chord of a parabola. We'll break down the problem into clear, manageable steps, explaining the mathematical reasoning behind each action.
Key Concepts and Formulas:
- Standard Form of a Parabola: For a parabola with its axis parallel to the x-axis, the standard form is , where is the vertex and is the focal length. The focus of such a parabola is located at .
- Focal Chord: A chord of a parabola that passes through its focus.
- Length of a Focal Chord: For a parabola