question_answer

If the circles \[{{x}^{2}}+{{y}^{2}}+2x+2ky+6=0,\]\[{{x}^{2}}+{{y}^{2}}+2ky+k=0\] intersect orthogonally, then k is.

A)  \[2\,\,or-\frac{3}{2}\]    

B)  \[-2\,\,or-\frac{3}{2}\]

C)  \[2\,\,or\frac{3}{2}\]                 

D)  \[-2\,\,or\frac{3}{2}\]

E)  None of these