Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle? Explain why or why not

Answer:It is impossible these two tangents intersect each other outside the circle because they parallel to each otherStep-by-step explanation:* Lets explain the tangent to circle- A tangent to a circle is a straight line which touches the circle at only  one point. - This point is called the point of tangency. - The tangent to a circle is perpendicular to the radius at the point of  tangency- The tangent to a circle is perpendicular to the diameter at one of its  endpoints and this end point is the point of tangency* Now lets solve the problem- If we have a circle with center O - AB is a diameter of circle O- CD is a tangent to circle O at point A- EF is a tangent to circle O at point B∵ AB is a diameter∵ CD is a tangent to circle O at A∵ The tangent and the diameter are perpendicular to each other at the   point of tangency∴ CD ⊥ AB at point A∵ EF is a tangent to circle O at B∵ The tangent and the diameter are perpendicular to each other at the   point of tangency∴ EF ⊥ AB at point B- There is a fact if two lines perpendicular to the same line then these  two lines are parallel∵ CD ⊥ AB and EF ⊥ AB∴ CD // EF- We prove a fact in the circle, if two tangents drawn from the endpoints  of a diameter, then these two tangents are parallel to each other∵ CD and EF are parallel∴ CD and EF never intersect each other∵ The two tangents each intersect a circle at opposite endpoints of   the same diameter are parallel ∴ It is impossible these two tangents intersect each other outside  the circle because they parallel to each other