Consider two circles `C_1: x^2+y^2-1=0` and `C_2: x^2+y^2-2=0`. Let A(1,0) be a fixed point on the circle `C_1` and B be any variable point on the circle `C_2`. The line BA meets the curve `C_2` again at C. Which of the following alternative(s) is/are correct?

Consider the two circles C: x^2+y^2=r_1^2 and C_2 : x^2 + y^2 =r_2^2(r_2 lt r_1) let A be a fixed point on the circle C_1,say A(r_1, 0) and 'B' be a variable point on the circle C_2. Theline BA meets the circle C_2 again at C. Then The maximum value of BC^2 is

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (BC)^(2) is maximum, then the locus of the mid-piont of AB is

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (BC)^(2) is maximum, then the locus of the mid-piont of AB is

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (BC)^(2) is maximum, then the locus of the mid-piont of AB is

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (OA)^(2)+(OB)^(2)+(BC)^(2)=lamda," then "lamdain

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (OA)^(2)+(OB)^(2)+(BC)^(2)=lamda," then "lamdain

Consider the two circles C_(1):x^(2)+y^(2)=a^(2)andC_(2):x^(2)+y^(2)=b^(2)(agtb) Let A be a fixed point on the circle C_(1) , say A(a,0) and B be a variable point on the circle C_(2) . The line BA meets the circle C_(2) again at C. 'O' being the origin. If (OA)^(2)+(OB)^(2)+(BC)^(2)=lamda," then "lamdain

Consider the circle x^2 + y^2 + 4x+6y + 4=0 and x^2 + y^2 + 4x + 6y + 9=0, let P be a fixed point on the smaller circle and B a variable point on the larger circle, the line BP meets the larger circle again at C. The perpendicular line 'l' to BP at P meets the smaller circle again at A, then the values of BC^2+AC^2+AB^2 is