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The equation x²/(10-a)+y²(4-a)=1 represents an ellipse if 1)a104 3)4
For ellipse its eccentricity should lie between 0 to 1.1 – (a-4)^2/(a-10)^2 less than 1and 1 – (a-4)^2/(a-10)^2 greater than zero.On solving separtely with each interval U would get, (a-4)^2/(a-10)^2 less than 1or(a-7) less than 0or a is less than 7.Hence 3) option a = 4 which is less than 7 .
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