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Find the equation of the ellipse, with m...

Find the equation of the ellipse, with major axis along the x-axis and passing through the points `(4, 3)`and `(-1, 4)`.

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To find the equation of the ellipse with its major axis along the x-axis and passing through the points (4, 3) and (-1, 4), we can follow these steps: ### Step 1: Write the general equation of the ellipse Since the major axis is along the x-axis, the general equation of the ellipse can be written as: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] where \(a^2\) is the square of the semi-major axis and \(b^2\) is the square of the semi-minor axis. ...
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  13. Find the equation of the circle with centre (–3, 2) and radius 4.

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  15. Find the equation of the circle which passes through the points (2,-2)...

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