if the algebriac sum of distances of points(2,1);(3,2) and (-4,7) from the line y =mx+c is zero;then this line will pass through a fixed point .find the co-ordinate of the fixed point

4 years ago

Share

Answers : (1)

                                        

let that line be  ax+ by + c= 0 


then acc to question  ( 2a + b + c ) + ( 3a+2b+c)+(-4a+7b+c) /√a²+b²+c²  = 0  by putting the values in the eq 


on solving it we get  a +10b +3c=0  or, c= -a/3 - 10b/3


so the eq becomes  ax +by -a/3-10b/3 = 0   or   a(3x - 1 ) + b (3y-10) = 0 


so the intersection point of the lines   3x-1=0  and   3y-10=0  is the given point

4 years ago

Post Your Answer

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
Far a minimum deviation refracted ray should be parallel to the base of the prism can u give the proof?
 
 
Refraction through a Prism:- A prism is a wedge-shaped body made from a refracting medium bounded by two plane faces inclined to each other at some angle. The two plane faces are called are...
  img
Saurabh Kumar 2 months ago
Are the following books sufficient to get a rank below 1000 in IIT-JEE 2016 ? Mathematics Trigonometry : S.L. Loney Coordinate Geometry : S.L. Loney Algebra, Calculus, Vectors and 3D...
 
 
friend , your book selection in physics is good. ok in chemistry. but according to me , you need some books in math. i also have s n lonely and r d sharma,but i have purchased arihant...
 
Abhishek Pachauri 17 days ago
 
These are good but. MAthematics- G. TIWANI, Chemistry- RC MUKHERJEE, MORRISION BOYD, JD LEE. Physics- RESNICK HALLIDAY, BM SHARMA SERIES ARE BEST
 
sachin sinha 10 days ago
sir i appeard 10 grade in 2013 due to some reasons i discontinued this year and now im gonna write my 12 and iit paper in 2016 will make any difference !!
 
 
  img
Aziz Alam 2 months ago
 
SIR I COULDNT GET GOOD MARKS IN 10 I GOT AROUND 60% AM I ELLIGIBLE TI WRITE olimpids,bitsat,kvpy
 
vignesh 2 months ago
I have got air 53804 in jee main 14 and Iam from chandigarh . Should i should opt for production engg. or metallurgy in pec , any top branch in uiet , or mechanical in mnit jaipur?
 
 
Below, there is table with opening and closing ranks for PEC metallurgy and production for the year 2013.By that you have a good chance of getting metallurgy. Thanks & Regards Aziz Alam...
  img
Aziz Alam 5 months ago
jadavpur university VS bits patna capus which is best? please suggest me soon .
 
 
Jadavpur university is better...
  img
Amit Shekhar 3 months ago
Hi , Please let me know what is global warming?
 
 
Global warming is d combined result of anthropogenic (human-caused) emissions of greenhouse gases and changes in solar irradiance , while climate change refers to any change in the state of...
 
Vijay Luxmi Askiitiansexpert 5 years ago
View all Questions »