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Let the line y=mx and the ellipse 2x^(2)...

Let the line `y=mx` and the ellipse `2x^(2)+y^(2)=1` intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co - ordinate axes at `(-(1)/(3sqrt2),0) and (0, beta)`, then `beta` is equal to

A

`(2sqrt2)/(3)`

B

`(2)/(sqrt3)`

C

`(sqrt2)/(3)`

D

`(2)/(3)`

Text Solution

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The correct Answer is:
C
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