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 (x−1)225+(y−1)216=1.