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Write 'True' or 'False' and justify your answer in each of the following:
 
1. If a chord \(AB\) subtends an angle of \(60^\circ\) at the centre of a circle, then angle between the tangents at \(A\) and \(B\) is also \(60^\circ\).
 
2. The length of tangent from an external point on a circle is always greater than the radius of the circle.
 
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