Major axis on the x-axis and passes through the points (4,3) and (6,2). find equation of ellipse.

Explanation

Equation of an ellipse is given by,

`x^2/a^2+y^2/b^2 = 1`

As the ellipse, passes through `(4,3)`,

`:. 16/a^2+9/b^2 = 1`

Let `1/a^2 = p and 1/b^2 = q`, then,

`=>16p+9q = 1->(1)`

As the ellipse, passes through `(6,2)`,

`:. 36/a^2+4/b^2 = 1`

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