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Question

Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is x times radius of the inner circle (x>2).


A

1x

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B

1x2

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C

1x3

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D

1

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Solution

The correct option is B

1x2


Let the radius of innermost circle = y

radius of outermost circle = yx

Probability that a dart hits region X = Area (innermost circle)Area (outermost circle)=π.y2π.y2x21x2


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