Question
The equation of the ellipse with its centre at (1, 2), one focus at (6, 2) and passing through (4, 6) is




None of these
medium
Solution
Let the equation of the ellipse be
It passes through (4, 6).
Let e be the eccentricity of the ellipse. Then,
ae = Distance between (1, 2) and (6, 2)
Solving (ii) and (iii), we get a^{2} = 45, and b^{2} = 20
Hence, the equation of the ellipse is,
.
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