If a tangent of slope1/3 of the ellipse ...

If a tangent of slope`1/3` of the ellipse `(x^2)/a^2+y^2/b^2=1(a > b)` is normal to the circle `x^2 + y^2 + 2x + 2 y +1=0` then

A

Maximum value of ab is `(2)/(3)`

B

`a in (sqrt((2)/(5)),2)`

C

`a in ((2)/(3), 2)`

D

Maximum value of ab is 1

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The correct Answer is:

A, B

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