Final answer:
From a point outside a circle, exactly two tangents can be drawn. Since the point B is outside the circle with center A and radius 3 cm, two tangents from B to the circle can be drawn.
Step-by-step explanation:
The question is asking about the number of tangents that can be drawn from a point outside a circle to the circle itself. Given points A and B where A is the center of the circle with a radius of 3 cm and the distance between A and B is 6 cm, we can determine the number of tangents.
A circle with radius 3 cm centered at A and the point B being 6 cm away from A means that point B lies outside the circle. From a point outside a circle, exactly two tangents can be drawn to the circle. These tangents will touch the circle at exactly one point each, being perpendicular to the radius at the point of tangency.
The correct answer to this question is therefore A) Two tangents can be drawn from point B to the circle.