Mathematics I - Old Questions
Question Answer Details
8. a) Define conic section. Find the coordinates of vertices, eccentricity and foci of the ellipse
9x2 + 4y2 - 18x - 16y - 11 = 0. (1+5)
Answer
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Official Answer
A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic sections are the hyperbola, the parabola, and the ellipse.
Given ellipse,
9x2 + 4y2 - 18x - 16y - 11 = 0
Converting to standard form of ellipse:
Here, h=1, k=2, a=2, b=3
Now,
Coordinate of Vertices:
i.e. (1, 5) & (1, -1)
Eccentricity:
Foci:
