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```        the larger of the two angles made with the x axis of a straight line drawn through [1,2]so that it intersect x+y=4 at a distance root6/3
from [1,2] is```
8 years ago

147 Points
```										Dear jauneet  singh
here distance form of a line is very helpful
equation of line
(x-1)/   =(y-2)/sinΘ  =√6 /3

so  x=1+√6 cosΘ  /3

and y =2 +√6 sinΘ /3
These point lie on the line x+y =4

so  1+√6 cosΘ  /3   +2 +√6 sinΘ /3 =4

or    √6 /3 (cosΘ +sinΘ) =1
or   1/√2 (cosΘ +sinΘ)  =√3 /2
or        sin(Θ+45) =sin 60   or sin 120
for  larger angle
sin(Θ+45) =sin 120
Θ=75

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.  All the best.  Regards, Askiitians Experts Badiuddin

```
8 years ago
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