The equation `(x^2 - a^2)^2 + (y^2 - b^2)^2 = 0` represents points

Options

A. which are collinear
B. which lie on a circle with centre at (0, 0)
C. which lie on a circle with centre at (a, b)
D. none of these

Explanation

To solve the equation \((x^2 - a^2)^2 + (y^2 - b^2)^2 = 0\) and determine the points it represents, we can follow these steps:

### Step 1: Analyze the equation
The given equation is \((x^2 - a^2)^2 + (y^2 - b^2)^2 = 0\). Since both terms are squares, the only way their sum can equal zero is if each term is individually equal to zero.