question_answer

Equation of the circle centred at \[(4,3)\] touching the circle \[{{x}^{2}}+{{y}^{2}}=1\]externally, is

A) \[{{x}^{2}}+{{y}^{2}}-8x-6y+9=0\]

B) \[{{x}^{2}}+{{y}^{2}}+8x+6y+9=0\]

C) \[{{x}^{2}}+{{y}^{2}}+8x-6y+9=0\]

D) \[{{x}^{2}}+{{y}^{2}}-8x6y+9=0\]

Correct Answer: A

Solution :

Given that, equation of circle \[{{x}^{2}}+{{y}^{2}}=1\]