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    Question

    If a = b in the equation of ellipse x²/a² + y²/b² =

    1, then the curve becomes:
    A Circle Correct Answer Incorrect Answer
    B Parabola Correct Answer Incorrect Answer
    C Ellipse Correct Answer Incorrect Answer
    D Rectangular hyperbola Correct Answer Incorrect Answer

    Solution

    We are given the standard equation of an ellipse: x²/a² + y²/b² = 1 Now, if a = b, then the equation becomes: x²/a² + y²/a² = 1 ⇒ (x² + y²)/a² = 1 ⇒ x² + y² = a² This is the standard equation of a circle centered at the origin with radius a.

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