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

If the lie 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

5 units

B

`12sqrt2` units

C

9 units

D

`8sqrt3` units

Text Solution

Verified by Experts

The correct Answer is:
C
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