An equation is formed of two equal expressions. The equation of the ellipse is [(x-6)²/49]+ [(x-2)²/9]=1.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1\\\\\\\dfrac{(x-6)^2}{7^2}+\dfrac{(y-2)^2}{3^2} = 1\\\\\\\dfrac{(x-6)^2}{49}+\dfrac{(y-2)^2}{9} = 1[/tex]
Hence, the equation of the ellipse is [(x-6)²/49]+ [(x-2)²/9]=1.
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