Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Ellipse › x²/(k-2) + y²/(5-k) = 1 is an ellipse for:
x²/(k-2) + y²/(5-k) = 1 is an ellipse for:
Ak > 2 for all k
B2 < k < 5, k ≠ 3.5
Ck > 5 for all k
Dk < 2 for all k
Answer & Solution
Correct answer: B. 2 < k < 5, k ≠ 3.5
Both denominators must be positive, giving 2 < k < 5, and they must differ since k = 3.5 makes the curve a circle.
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