In the following figure,if $AB = 10$,then $AC = \ldots$

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(A) In the given figure,$OP$ is the line segment joining the center $O$ to the external point $P$. The line $OP$ is the perpendicular bisector of the chord $AB$.
Since $OP \perp AB$ and $OP$ bisects $AB$,we have $AC = CB = \frac{AB}{2}$.
Given $AB = 10$,therefore $AC = \frac{10}{2} = 5$.

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Write 'True' or 'False' and give reasons for your answer.
If a chord $AB$ subtends an angle of $60^{\circ}$ at the centre of a circle,then the angle between the tangents at $A$ and $B$ is also $60^{\circ}$.

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