Question

Three concentric circles with centre O and radii $r_1$ $r_2$ and $r_3$ are such that $r_1$, $r_2$, P is a point on the circle with radius $r_2$ and Q is a point on circle with radius r3 how many tangents can be drawn from P and Q to the circles?

Answer 1

Although the line "p is a point on the circle with ry tangent radius $r_2$" is not clear so assuming P is a point on circle with radius $r_2$

Here we can see that from Q we can draw 4 tangent to the circle with radius $r_1$ and $r_2$ and from P we can draw 2 tangent to the circle with radius $r_1$