0

Guest

Courses New

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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
13 years ago

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

     

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More