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Question

Two parallel lines touch a circle at points A and B respectively. The area of the circle is 25π cm2 then AB is:

A
5 cm
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B
8 cm
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C
10 cm
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D
25 cm
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Solution

The correct option is C 10 cm
Since, the lines are tangents and parallel to each other, the distance between them is the diameter.

AB=2r

Now, Area of circle =25π [given]
πr2=25π
r=5 cm
AB=2r=2×5=10 cm

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