Question

The point at which the circles $x^2 + y^2 - 4x - 4y + 7 = 0$ and $x^2 + y^2 - 12x - 10y + 45 = 0$ touch each other is

• A. $\left(\frac{13}{5},\frac{14}{5}\right)$
• B. $\left(\frac{2}{5},\frac{5}{6}\right)$
• C. $\left(\frac{14}{5},\frac{13}{5}\right)$
• D. $\left(\frac{2}{5},2+\frac{\sqrt{21}}{6}\right)$

Answer 1

Answer: (C)

Correct answer is (c) $\left(\frac{14}{5},\frac{13}{5}\right)$