Question

The sides of a rectangle are given by x = ± a and y = ± b. The equation of the circle passing through the vertices of the rectangle is ______.

विकल्प

• x² + y² = a²

• x² + y² = a² + b²

• x² + y² = a² – b²

• (x – (a)² + (Y – (b)² = a² + b²

Answer 1

The sides of a rectangle are given by x = ± a and y = ± b. The equation of the circle passing through the vertices of the rectangle is x² + y² = a² + b².

Explanation:

Centre = (0, 0) and radius = r = `sqrt(a^2 + b^2)`

∴ Equation of circle is x² + y² = a² + b²