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If the line x-2y= 12 is tangent to the ...

If the line `x-2y= 12` is tangent to the ellipse `(x^(2))/(a^(2))+ (y^(2))/(b^(2))=1` at the point `(3, (-9)/(2))`, then the length of the latus rectum of the ellipse is

A

9

B

`8 sqrt3`

C

`12 sqrt2`

D

5

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The correct Answer is:
A
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