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Let C be a circle with centre P(0) and ...

Let C be a circle with centre ` P_(0) and AB` be a
diameter of C . suppose `P_(1)` is the midpoint of line
segment ` P_(0) B, P_(2)` the midpoint of line segment
` P_(1) B` and so on Let `C_(1),C_(2) ,C_(3) ` be circles with diameters `P_(0)P_(1), P_(1)P_(2),P_(2)P_(3)` ,... respectively
Suppose the circles `C_(1),C_(2),C_(2),`... are all shaded
The ratio of the area of the unshaded portion of C
to that of the original circle is

A

`8:9`

B

`9:10`

C

`10:11`

D

`11:12`

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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
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  9. The sum of sum(n=1)^(oo) ""^(n)C(2) . (3^(n-2))/(n!) equal

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  11. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

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  13. ((1 )/(2!) + (1)/(4!) + (1)/(6!) + ......)/((1)/(1!) + (1)/(3!) + (1)/...

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  19. If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))...

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