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Grade 12 Math · Problem type
Which conic is it?
Use this for “Which conic is 4x² − 9y² = 36?”
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Compare the x² and y² terms: same coefficient, same sign, opposite signs, or only one squared?
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Assumptions
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Compare the x² and y² terms once they are on one side.
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Same coefficient and same sign: a circle. Different coefficients, same sign: an ellipse.
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Opposite signs: a hyperbola. Only one of x and y squared: a parabola.
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Related lessons
Conic sections: parabolas, ellipses and hyperbolas
Main lesson
Parabola: focus and directrix
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Hyperbola: foci and asymptotes
Use this for “Find the foci and asymptotes of x²/9 − y²/16 = 1.”
Conics as slices of a cone
Use this for “Why are circles, ellipses, parabolas and hyperbolas called conic sections?”