"The distance between the points ofntact of twoparallel tangents toa givencircle of radius 6 cm is

The question seems to be incomplete. However, if you're asking for the distance between the points of contact of two parallel tangents to a given circle of radius 6 cm, here's how you can solve it:

1. Draw a circle with a radius of 6 cm.
2. Draw two parallel tangents to the circle. The points where these tangents touch the circle are the points of contact.
3. Draw two radii from the center of the circle to the points of contact. These radii are perpendicular to the tangents.
4. Now, you have two right triangles. The hypotenuse of each triangle is the radius of the circle (6 cm), and the two triangles share a common side, which is the distance between the points of contact of the tangents.
5. Since the tangents are parallel and the radii are perpendicular to the tangents, the two right triangles are congruent.
6. Therefore, the distance between the points of contact of the tangents is the same as the diameter of the circle, which is 2 * radius = 2 * 6 cm = 12 cm.

So, the distance between the points of contact of two parallel tangents to a given circle of radius 6 cm is 12 cm.