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The line x+2y=4 is transtated by 3units ...

The line x+2y=4 is transtated by 3units closer to the origin and then rotated by `30^(@)` in the clock wise direction about the point where shifted line cuts the X-axit then equation of line in new position

A

`y=(-(2+sqrt3))/((2sqrt3-1))x+3sqrt5`

B

`y=(-(2+sqrt3))/((2sqrt3-1))x-4`

C

`y=((2+sqrt3)/(2sqrt3-1))x+3sqrt5-4`

D

`y=(-(2+sqrt3))/(2sqrt3-1)(x+3sqrt5-4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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