Question

Equation of smallest circle passing through 'points of intersection of line x + y = 1 & circle x²+ y² = 9

• A. x² + y² + x + y – 8 = 0
• B. x² + y² – x – y – 8 = 0
• C. x² + y² – x + y – 8 = 0
• D. None

Answer 1

Answer: (B)

x² + y² – x – y – 8 = 0

Answer 2

Let circle is (x² + y² – 9) + (x + y – 1) = 0

Center $\left( - \frac{\lambda}{2}, - \frac{\lambda}{2} \right)$lie on line x + y = 1

Ž l = – 1

Ž Circle is x² + y² – x – y – 8 = 0