Question

Let the locus of the centre $(\alpha, \beta),$ $\beta>0$, of the circle which touches the circle $x ^2+( y -1)^2=1$ externally and also touches the x-axis be L Then the area bounded by L and the line y=4 is :

• A. $\frac{32 \sqrt{2}}{3}$
• B. $\frac{40 \sqrt{2}}{3}$
• C. $\frac{64}{3}$
• D. $\frac{32}{3}$

Answer 1

Answer: (C)

$\frac{64}{3}$

Answer 2

The correct option is(C): $\frac{64}{3}$.