Determine whether the line x + 3y sqrt(2...

Determine whether the line `x + 3y sqrt(2)= 9` is a tangent to the ellipse `x^(2)//9 + y^(2)//4 = 1`. If so, find the co-ordinates of the pt of contact.

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The correct Answer is:

The line is a tangent and point of contact `((1)/(3sqrt(2)), (4 sqrt(2))/(3))`

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