Find the equation of the ellipse the ends of whose major and minor axes are (±4, 0) and (0, ±3) respectively.

Question

Philoid · Accepted Answer

Given:

Ends of Major Axis = (±4, 0)

and Ends of Minor Axis = (0, ±3)

Here, we can see that the major axis is along the x – axis.

∴ The Equation of Ellipse is of the form,

…(i)

where, a is the semi – major axis and b is the semi – minor axis.

Accordingly, a = 4 and b = 3

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