UPSKILL MATH PLUS

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Write 'True' or 'False' and justify your answer in each of the following:
 
1. The tangent to the circumcircle of an isosceles triangle \(ABC\) at \(A\), in which \(AB = AC\), is parallel to \(BC\).
 
2. If a number of circles touch a given line segment \(PQ\) at a point \(A\), then their centres lie on the perpendicular bisector of \(PQ\).
 
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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.