Solution: Compute the focal length and the length of the latus rectum of the parabola

Compute the focal length and the length of the latus rectum of the parabola y^2 + 8x – 6y + 25 = 0. How to find the focal length and latus rectum given the equation of the parabola?

Compute the focal length and the length of the latus rectum of the parabola

Problem Statement: ECE Board November 1997

Compute the focal length and the length of the latus rectum of the parabola y^2 + 8x – 6y + 25 = 0.

Problem Answer:

The focal length is 2 and the length of latus rectum is 8.

Solution:

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