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If the line 2x+sqrt(6)y=2 touches the hy...

If the line `2x+sqrt(6)y=2` touches the hyperbola `x^2-2y^2=4` , then the point of contact is `(-2,sqrt(6))` (b) `(-5,2sqrt(6))` `(1/2,1/(sqrt(6)))` (d) `(4,-sqrt(6))`

A

`(-2,sqrt(6))`

B

`(-sqrt(5),2sqrt(6))`

C

`((1)/(2),(1)/(sqrt(6)))`

D

`(4,sqrt(6))`

Text Solution

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The correct Answer is:
D
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