Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Transformation of Axes › The curve x² + 3xy + y² = 5 is a
The curve x² + 3xy + y² = 5 is a
Acircle
Bellipse
Chyperbola
Dparabola
Answer & Solution
Correct answer: C. hyperbola
B² - 4AC = 9 - 4 = 5 is positive, which marks a hyperbola.
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