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Question

The equation of the ellipse whose vertices are (–4, 1), (6, 1) and one latus rectum is x – 4 = 0 is

A
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B
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C
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D
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Solution

The correct option is A
A = (–4, 1), A’ = (6, 1) are the vertices of an ellipse.
Centre = C = midpoint of AA=(4+62,1+12)=(1,1)=(α,β)
Since y-coordinates are equal in A, A’ the major axis is parallel to x-axis
Length of the major axis 2a = AA’
a = 5
Distance between centre and the focii = ae = 5
e = 15
So the equation of the ellipse is (x1)225+(y1)216=1.

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