Length of Internal Common Tangent

Q.

Length of internal (transverse) common tangent to two circles is $L_{int}=\sqrt{d^2-(r_1-r_2{)}^2}$

Where d = distance between the centers of the two circles $r_1\&r_2$ are radii of two circles

1. True

2. False

Q. In figure, AB is a chord of the circle and AOC is its diameter such that $\angle ACB={50}^{\circ }$. If AT is the tangent to the circle at the point A, then $\angle BAT$ is equal to:

1. 
2. 
3. 
4. 

Q.

If one circle lie completely outside the other circle, P, the intersection of transverse (indirect) common tangent, lie on the line joining the centers of the two circles and divide it internally in the ratio of their radii

1. True

2. False