A) Touches
B) Cuts at real points
C) Cuts at imaginary points
D) None of these
Correct Answer: A
Solution :
Tangent is \[x-2y-5=0\] and points of intersection with circle \[{{x}^{2}}+{{y}^{2}}-8x+6y+20=0\] are given by \[4{{y}^{2}}+25+20y+{{y}^{2}}-16y-40+6y-20=0\] \[\Rightarrow 5{{y}^{2}}+10y+5=0\] \[\Rightarrow y=-1\]and \[x=-3\] i.e., touches.You need to login to perform this action.
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