b = 3, c = 4, centre at the origin and foci on the x axis.
Since the foci are on the x-axis, the major axis is along the x-axis.
So, the equation of the ellipse will be of the form
\( \dfrac{x^2}{a^2}\) +\( \dfrac{y^2}{b^2}\) = 1, where ‘a’ is the semi-major axis.
Then, b = 3 and c = 4.
It is known that a2 = b2 + c2.
a2 = 32 + 42
= 9 + 16
=25
a =\( \sqrt{25}\)
= 5
The equation of the ellipse is \( \dfrac{x^2}{5^2}+ \dfrac{y^2}{3^2}=1\)
or \( \dfrac{x^2}{25}+ \dfrac{y^2}{9}=1\)
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