Equation which represents an ellipse with x-intercept ±2 and y-intercepts ±3 is [tex]\frac{x^2}{9} + \frac{y^2}{4} = 1[/tex].
What is an Ellipse?
An Ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.
Simple form of Equation of ellipse
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
where a ( y-intercept ) = ±3 , b ( x-intercept )= ±2
[tex]\frac{x^2}{3^2} + \frac{y^2}{2^2} = 1[/tex]
[tex]\frac{x^2}{9} + \frac{y^2}{4} = 1[/tex]
Thus, Equation which represents an ellipse with x-intercept ±2 and y-intercepts ±3 is [tex]\frac{x^2}{9} + \frac{y^2}{4} = 1[/tex]
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