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 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 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_(1) and B be any variable curve C_(2) again at C. Which of the following alternative(s) is/are correct?

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