Question

Tangents drawn from origin to the circle x² + y² - 2ax - 2by + b² = 0 are perpendicular to each other, if ______ 

Options

• a - b = 1

• a + b = 1

• a² = b²

• a² + b² = 1

Answer 1

Tangents drawn from origin to the circle x² + y² - 2ax - 2by + b² = 0 are perpendicular to each other, if a² = b².

Explanation:

 

Tangents from the origin will be perpendicular if it touches both axes i.e., a = b ⇒ a² = b²