A) \[\left( -6,\frac{18}{5} \right)\]
B) \[\left( 6,\frac{18}{5} \right)\]
C) \[\left( -6,\frac{18}{5} \right)\]
D) \[\left( 6,-\frac{18}{5} \right)\]
Correct Answer: D
Solution :
Let the point of contact be (h,k); equation of chord of contact is T = 0 \[\Rightarrow \]\[xh-yk-12=0\] ...........(i) Equation of common chord \[{{C}_{1}}-{{C}_{2}}=0\] \[5x-3y-10=0\]..........(ii) (i) and (ii) represent the same line \[\Rightarrow \]\[h/k=k/(-3)=-12/(-10)\] \[\Rightarrow \]\[h=6.k=-18/5\]You need to login to perform this action.
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