1.

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?A. The circles `S_(1)" and "S_(2)` touches each other.B. Number of common tangent(s) to `S_(1)" and "S_(2)` is 1.C. The equation of radical axis of `S_(1)" and "S_(2)" is "5x+12y+19=0`.D. Circle `S_(2)` neither touches nor cuts the coordinate axes.

Answer» Correct Answer - A
Circles touch externally as `C_(1)C_(2)=r_(1)+r_(2).`
`C_(1)(2,3)," "r_(1)=5`
`C_(2)(-3,-9)," "r_(2)=8`


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