Let the equation of required ellipse is

…(A)

Given:

Length of Major Axis = 10units …(i)

We know that,

Length of major axis = 2a …(ii)

∴From eq. (i) and (ii), we get

2a = 10

⇒ a = 5

It is also given that

Length of Minor Axis = 8 units …(iii)

We know that,

Length of minor axis = 2b …(iv)

∴From eq. (iii) and (iv), we get

2b = 8

⇒ b = 4

Substituting the value of a and b in eq. (A), we get