The angle between two tangents to a circle may be \(0^\circ\). State True/False and justify.
False.
Step 1: A tangent is a line that just touches the circle at one point, without cutting it.
Step 2: If we take any point outside the circle, we can draw exactly two tangents from that point to the circle.
Step 3: These two tangents will meet at the external point and form an angle \(\theta\).
Step 4: This angle is always between \(0^\circ\) and \(180^\circ\).
Step 5: Why not \(0^\circ\)? Because if the angle were \(0^\circ\), both tangents would overlap each other, which means they would become one single line. But then it will no longer be "two tangents".
Step 6: Therefore, the angle can be very small if the point is taken very far away, but it can never be exactly \(0^\circ\).
Final Conclusion: The statement is False.