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A line throught the point A (2,0), which...

A line throught the point A (2,0), which makes an angle of `30^(@)` with the positive direction of x-axis is rotated about A in clockwise direction through an angle `15^(@)`. The eqation of the straight line in the new position is -

A

`(2-sqrt(3)) x-y- 4+ 2 sqrt(3)=0`

B

`(2-sqrt(3)) x+y- 4+ 2 sqrt(3)=0`

C

`(2-sqrt(3)) x-y+ 4+ 2 sqrt(3)=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
1

Slope of line in new postioin
`m= tan15^(@)`
`rArr m = 2 -sqrt(2)`
Equation
y-0 `=(2-sqrt(3)) ( x-2)`
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A line through the point A(2,0) which makes an angle of 30^(@) with the positive direction of X-axis is rotated about A in clockwise direction through an angle of 15^(@) . Then, the equation of the striaght line in the new position is

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