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Math Help - when we use standerd Equation of an ellipse

  1. #1
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    when we use standerd Equation of an ellipse

    Hi

    when we use standerd Equation of an ellipse

    here 2 formula 1 and 2 when we use 1 and when we use 2

    hlep me
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  2. #2
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    when we say a is called b and b is called a in the queation
    i mean in queation how we nowthe solve will be by formula 1 or 2
    help me >>
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  3. #3
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    Quote Originally Posted by r-soy View Post
    when we say a is called b and b is called a in the queation
    i mean in queation how we nowthe solve will be by formula 1 or 2
    help me >>
    a is always the larger of the two, in the equations given. If a^2 is underneath x^2 then the ellipse will be oriented horizontally. Otherwise the ellipse will be oriented vertically.

    If a and b are equal then you have a circle.
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  4. #4
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    There are textbooks in which the "standard equation" for an ellipse is given as \frac{x^2}{a^2}+ \frac{y^2}{b^2}= 1 with "a" and "b" always being the lengths to semi-axes in the x and y directions respectively, irrespective of which is longer.

    Lesson: don't just memorize formulas, learn what they mean!
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