Question
Question: The equation 14x<sup>2</sup> – 4xy + 11y<sup>2</sup> – 44x – 58y + 71 = 0 represents...
The equation 14x2 – 4xy + 11y2 – 44x – 58y + 71 = 0 represents
A
A circle
B
An ellipse
C
A hyperbola
D
A rectangular hyperbola
Answer
An ellipse
Explanation
Solution
∆ = abc + 2fgh – af2 – bg2 – ch2 < 0 and h2 > ab
∴ The given equation represents an ellipse.