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`

Options

A. (a)`(b^(2)+a^(2),5b^(2)+a^(2)]`
B. (b)`[4b^(2),4b^(2)+a^(2)]`
C. (c)`[4a^(2),4b^(2)]`
D. (d)`[5b^(2)-3a^(2),5b^(2)+3a^(2)]`

Answer

A