Question

Consider the circles S₁ : x² + y² = 4 and S₂ : x² + y² – 2x – 4y + 4 = 0 which of the following statements are correct? 

(A) Number of common tangents to these circles is 2. 

(B) If the power of a variable point P w.r.t. these two circles is same then P moves on the line x + 2y – 4 = 0. 

(C) Sum of the y-intercepts of both the circles is 6. 

(D) The circles S₁ and S₂ are orthogonal

Answer 1

(A) Number of common tangents to these circles is 2. 

(B) If the power of a variable point P w.r.t. these two circles is same then P moves on the line x + 2y – 4 = 0. 

(D) The circles S₁ and S₂ are orthogonal