Write True or False and justify your answer:
If angle between two tangents drawn from a point `P` to a circle of radius `a` and centre `O` is `60^(@)` then `OP=asqrt3`.

Explanation

To determine whether the statement is True or False, we will analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding the Problem**: We have a circle with radius \( a \) and center \( O \). A point \( P \) is outside the circle from which two tangents are drawn to the circle, creating an angle of \( 60^\circ \) between them.

2. **Identifying the Geometry**: Let \( T_1 \) and \( T_2 \) be the points where the tangents touch the circle. The angle \( \angle T_1PT_2 = 60^\circ \).

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