Which of the following statements is correct?

1. The angle between two tangents to a circle may be 0°.

2. If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.

3. The tangents at the end points of a diameter of a circle are perpendicular.

Correct option is B

Given:

1. The angle between two tangents to a circle may be 0°.

2. If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.

3. The tangents at the end points of a diameter of a circle are perpendicular.

Solution:

1. The angle between two tangents to a circle may be 0°.

Explanation: If two tangents meet at the same point on the circle, they coincide and form no angle (or an angle of )​$$0^\circ$$​

0^∘This statement is correct.

​2. If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.

Explanation: This is a property of parallel lines. If a transversal cuts two lines and the alternate interior angles are equal, the two lines are parallel.
This statement is correct.

3. The tangents at the end points of a diameter of a circle are perpendicular.

Explanation: The tangents at the end points of the diameter are parallel, not perpendicular. The radius at both endpoints is perpendicular to their respective tangents, so the tangents remain parallel to each other.
This statement is incorrect.

Option (b) is right answer.