Question

Let r₁ and r₂ be the radii of the largest and smallest circles, respectively, which pass through the point (-4,1) and having their centres on the circumference of the circle x² + y² + 2x + 4y– 4 = 0.

If r¹/r² = a+b√2, then a + b is equal to :

(1) 3

(2) 11

(3) 5

(4) 7

Answer 1

Answer is: (3) 5

Centre of smallest circle is A

Centre of largest circle is B

a = 3, b = 2