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If the straight line 8x+3sqrt(2)y= 36 to...

If the straight line `8x+3sqrt(2)y=` 36 touches the
ellipse `(x^(2))/(9)+(y^(2))/(4)= 2 " at (a, b),then " a+ sqrt(2b)=`

A

`(36)/(5sqrt(2))`

B

`(8)/(3)`

C

`(12+2sqrt(2))/(3)`

D

`(16)/(3)`

Text Solution

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The correct Answer is:
D
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