Question

In the given figure the equation of the larger circle is

x² + y² + 4y – 5 = 0 and the distance between centers is 4 then the equation of smaller circle is -

• A. (x – $\sqrt { 7 }$)² + (y – 1)² = 1
• B. (x + $\sqrt { 7 }$)² + (y – 1)² = 1
• C. x² + y² = 2$\sqrt { 7 }$x + 2y
• D. None of these

Answer 1

Answer: (A)

(x – $\sqrt { 7 }$)² + (y – 1)² = 1

Answer 2

C₁C₂ = r₁ + r₂ = 4

3 + r₂ = 4

r₂ = 1

C₁C₂ = 4

l² + 9 = 16

l = ± $\sqrt { 7 }$, 1)

equation of C₁

(x – $\sqrt { 7 }$)² + (y – 1)² = 1