Exams › JEE Main › Maths
The graph of the equation x + y = x³ + y³ is the union of
- a line and an ellipse
- a line and a parabola
- a line and a hyperbola
- a line and a point
Correct answer: a line and an ellipse
Solution
The equation factors as (x + y)(x² - xy + y² - 1) = 0, giving the line x + y = 0 and the conic x² - xy + y² = 1, which is an ellipse.
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