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A circle arc of radius 1 subtends an ang...

A circle arc of radius `1` subtends an angle of `x` radians as shown in figure. The centre of the circle is `O` and the point `C` is the intersection of two tangent lines at `A` and `B`. Let `T(x)` be the area of `DeltaABC` and `S(x)` be the area of shaded region.

`lim_(xto0)(T(x))/(x^(3))` is

A

`1/2`

B

`1/3`

C

`1/4`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
D
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