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Question

A point is selected randomly from the inside of the circle. The probability that point is closer to the centre then the boundary of the circle is

A
45
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B
34
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C
14
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D
None of these
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Solution

The correct option is C 14
n(S)= area of circle with radius R=πR2
n(A)= area of circle with radius R2=πR24
P(A)=n(A)n(S)=πR2(πR2)×4=14

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