this is an equation... (x^2)/3 + (y^2)/5 = 15. this is an ellipse but how to calculate semi major axis from it?
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Write the equation of ellipse in the standard form. $\displaystyle \frac{x^2}{45} + \frac{y^2}{75} = 1$ Now can you find the semi-major axis?
it comes out to be (5*3^(1/2))/2. am i right?
Yes. You are right.
Originally Posted by vyomictor it comes out to be (5*3^(1/2))/2. am i right? No, you are not right. The semi-major axis is $\displaystyle \sqrt{75} = 5 \sqrt{3}$. If you have the ellipse $\displaystyle \displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2}$ then the semi-major axis is either a (if a > b) or b (if b > a).
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