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Find the value of k for which the point `P(2, k)` on the ellipse `x^2 +2y^2=6`, which is nearest to the line `x+y=7`

A

`(sqrt2, sqrt2)`

B

`(-2, -1)`

C

`(sqrt5, (1)/(sqrt2))`

D

`(2, 1)`

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The correct Answer is:
D
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