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The area of the circle with radius y is w. The difference between the areas of the bigger circle (with radius y) and that of the smaller circle (with radius x) is w’. So x/y is equal to
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√1 - w' w -
√1 + w' w -
√1 + w w' -
√1 + w w'
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Correct Option: A
w = πy² = Area of larger circle
w' = πy² – πx²
⇒ w' = w – πx²
⇒ πx² =
∴ | = | ||
πy² | w |
⇒ | = 1 - | ||
y² | w |
⇒ | = √1 - | ||
y² | w |