UPSKILL MATH PLUS

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Write 'True' or 'False' and justify your answer in each of the following:
 
1. If angle between two tangents drawn from a point \(P\) to a circle of radius \(a\) and centre \(O\) is \(90^\circ\), then \(OP = a \sqrt{2}\).
 
2. If angle between two tangents drawn from a point \(P\) to a circle of radius \(a\) and centre \(O\) is \(60^\circ\), then \(OP = a \sqrt{3}\).
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.