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Consider curve y=(1+x)^(y)+sin^(-1)(sin^...

Consider curve `y=(1+x)^(y)+sin^(-1)(sin^(2)x)`. Which of the following statements are correct ?

A

A Normal to the at x=0 makes equal intercept with axes

B

Shortest distance of normal to the curve at `x=0` from origins is `(1)/sqrt(2)`

C

Reflection of origin about normal to curve at `x=0` is (1,1)

D

One of the angle bisectors between tangent and normal to curve at `x=0` coincides with the axes of corrdinates.

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The correct Answer is:
A, B, C, D
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