Question

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

Or

Find the equation of the circle pasing through the points (-3, 4), (-2, 0) and (1,5)) find the coordinates of the centre and radius of the circle.

Answer 1

$7x^2+15y^2=247$

or

$x^2+y^2+x-5y-2=0$

Centre $=(-\frac{1}{2},\frac{5}{2})$

Radius, $r=\frac{\sqrt{34}}{2}$