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Given an ellipse equation like : (x-1)^2 /4 + y^2/9 = 1.. how do i know which one is a^2 or b^2? is it the four or 9.. please explain why?

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  • Given an ellipse equation like : (x-1)^2 /4 + y^2/9 = 1.. how do i know which one is a^2 or b^2? is it the four or 9.. please explain why?


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This is a tutorial with detailed solutions to problems related to the ellipse equation. For an interactive tutorial on the equation of the ellipse Go here.
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Positive: 50 %
a 2 – c 2 = b 2 25 – c 2 = 16 9 = c 2 ... and co-vertices of the ellipse with equation 25x 2 + 4y 2 + 100 ... a 2 = 25 and b 2 = 4, so the equation b 2 ...
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Positive: 47 %

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... ^2+y^2=9$ and parabola $y^2=4x$.$$My Try$$ So equation of tangent at point $(x_1 ... ellipse $$\frac{x^2}{4}+\frac{y^2}{9}=1 ... a^2 + y^2 / b^2 - 1 ...
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Positive: 8 %

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