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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

C

`(1)/(2sqrt2)`

D

`(1)/(2sqrt3)`

Text Solution

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The correct Answer is:
C
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