SAMPLE QUESTIONS
1. The centre of the circle passing through (0,0) and (1,0) and touching the circle x
2 + y
2 = 9 is
a) $\left (\frac{1}{2}, \frac{1}{2} \right )$
b) $\left (\frac{1}{2}, -\sqrt{2} \right )$
c) $\left (\frac{3}{2}, \frac{1}{2} \right )$
d) $\left (\frac{1}{2}, \frac{3}{2} \right )$
2. If the tangent to the circle x
2 + y
2 = r
2 at the point (a,b) meets the coordinate axes at the point A and B and O is the origin, then the area of the triangle OAB is
a) $\frac{r^{4}}{2ab}$
b) $\frac{r^{4}}{ab}$
c) $\frac{r^{2}}{2ab}$
d) $\frac{r^{2}}{ab}$