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17 August, 09:11

Tthe equation y^2 - x^2 = 1 represents which conic section

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  1. 17 August, 12:41
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    The equation y^2 - x^2 = 1 describes the Hyperbola section

    Step-by-step explanation:

    1. Circle

    (x-h) ^2 + (y-k) ^2=r^2

    With the formula when we square the variables we get equal signed same coefficients for this equation

    2. Ellipses

    (x-h) ^2/a^2 + (y-k) ^2/b^2=1

    (x-h) ^2/b^2 + (y-k) ^2/a^2=1

    With the formula when we square the variables we get unequal same signed coefficients

    3. Parabola

    y-k=4p (x-h) ^2

    x-h=4p (y-k) ^2

    With the formula when we square the one variable we get the parabola

    4. Hyperbola

    (x-h) ^2/a^2 - (y-k) ^2/b^2=1

    (x-h) ^2/b^2 - (y-k) ^2/a^2=1

    With the formula when we square the variables we get one value in the form of negative that is hyperbola
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