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For the curve `sinx+siny=1` lying in first quadrant. If `underset(xrarr0)(lim)x^(alpha)(d^(2)y)/(dx^(2))` exists and non-zero than `2alpha=`

A

`1/2`

B

`(1)/(sqrt2)`

C

`3/2`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
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