Consider the conic with a centre at the origin, a focus at $\left(0,4\right)$(0,4) and an eccentricity of $\frac{5}{6}$56.
Find the value of $b^2$b2.
Hence find the equation of the conic.
Consider the conic with a centre at the origin, a focus at $\left(4,0\right)$(4,0) and an eccentricity of $\frac{1}{3}$13.