Problem

Find the equation of the ellipse that has its center at the origin (0,0), semi-major axis a=4 and semi-minor axis b=3.

Answer

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Answer

Step 3: Substituting the values we get the equation of the ellipse as \(\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1\).

Steps

Step 1 ：Step 1: We know that the standard form of the equation of an ellipse with center at the origin (0,0) is \(\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1\).

Step 2 ：Step 2: Substitute the given values of a and b into the standard form of the equation. So, \(a = 4\) and \(b = 3\).

Step 3 ：Step 3: Substituting the values we get the equation of the ellipse as \(\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1\).

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