Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Transformation of Axes › The curve 2x² + xy + 3y² = 6 is of which type?
The curve 2x² + xy + 3y² = 6 is of which type?
AEllipse
BParabola
CPair of lines
DHyperbola
Answer & Solution
Correct answer: A. Ellipse
B² - 4AC = 1 - 24 = -23 is negative, so the curve is an ellipse.
Related questions
In a rotation of axes, which point is kept fixed?For studying an ellipse, the foci are usually placedWhy are coordinate axes often moved relative to a curve?When axes are rotated about the z axis in 3D, each point's z coordinateTranslating to the centre turns x² + 4y² - 2x + 8y + 1 = 0 intoMoving the origin to (3, 4) changes x² + y² = 25 intoThe origin moves to (3, 5). Where is the old origin in the new system?Axes are turned 45° counterclockwise. The line y = x becomes