Consider the circles `S_1 : x^2 + y^2 = 4 and S_2 : x^2 + y^2 - 2x - 4y + 4 = 0` which of the following statements are correct?

Consider the circles S_(1):x^(2)+y^(2)-4x-6y-12=0 and S_(2):x^(2)+y^(2)+6x+18y+26=0 then which of the following is (are) correct?

The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = 0

Consider the circles C_(1):x^(2)+y^(2)-4x+6y+8=0;C_(2):x^(2)+y^(2)-10x-6y+14=0 Which of the following statement(s) hold good in respect of C_(1) and C_(2)?

For the circles S_1: x^2 + y^2-4x-6y-12 = 0 and S_2 : x^2 + y^2 + 6x + 4y-12=0 and the line L.:x+y=0 (A) L is common tangent of S_1 and S_2 (B) L is common chord of S_1 and S_2 (C) L is radical axis of S_1 and S_2 (D) L is perpendicular to the line joining the cente of S_1 & S_2

Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y - 4 = 0

Consider the following statements in respect of positive odd integers x and y : 1. x^2 +y^2 is even integer. 2. x^2+y^2 is divisible by 4. Which of the above statements is/are correct ?

Consider two circles S, =x^2+y^2 +8x=0 and S_2=x^2+y^2-2x=0 . Let DeltaPOR be formed by the common tangents to circles S_1 and S_2 , Then which of the following hold(s) good?

Statement I The circle x^(2) + y^(2) - 6x - 4y - 7 = 0 touches y-axis Statement II The circle x^(2) + y^(2) + 6x + 4y - 7 = 0 touches x-axis Which of the following is a correct statement ?

Consider the circles C_(1)-=x^(2)+y^(2)-2x-4y-4=0andC_(2)-=x^(2)+y^(2)+2x+4y+4=0 and the line L-=x+2y+2=0 then