A) 47
B) -47
C) 49
D) -49
Correct Answer: A
Solution :
By using the condition that if two circles are intersect orthogonally, then \[2\,({{g}_{1}}{{g}_{2}}+{{f}_{1}}{{f}_{2}})={{c}_{1}}+{{c}_{2}}\] where \[{{g}_{1}}=-1,\,{{f}_{1}}=11,\,{{c}_{1}}=5\] and \[{{g}_{1}}=-1,\,{{f}_{1}}=11,\,{{c}_{1}}=5\] \[\Rightarrow \,\,2\,(-1.7+11.3)=5+k\] \[\Rightarrow \] \[2\,(26)=5+k\] \[\Rightarrow \] \[k=47\]
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