Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 550 off


Let z1,z2,z3 be three points on |z|=1.If Θ1,Θ2,Θ3 be the arguments of z1,z2,z3 respectively then cos(Θ1-Θ2)+cos(Θ2-Θ3)+cos (Θ3-Θ1)
a. >=-3/2
b. <=-3/2
d. none

6 years ago


Answers : (1)


Dear Vaibhay

In the question nothing is given about Θ1,Θ2,Θ3

so choose any value of Θ1,Θ2,Θ3

let Θ1,Θ2,Θ3 are nearly equal so




so cos(Θ1-Θ2)+cos(Θ2-Θ3)+cos (Θ3-Θ1) ≈3

option a and c are correct

similerly we can choose other angel also

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 preparation.

All the best.
Askiitians Experts

6 years ago

Post Your Answer

Other Related Questions on Algebra

if x+y+1=3xy,where x (not =)to y,determine value of x+y+1?
There can be lot of possibilties x=0 then y= -1 x= 1 y=1 (Not to be taken as xnot equal to y) x=2 y+1= 6y so y=1/5 Like this other cases can be taken So x+y+1 can have multiple values I...
Harsh Patodia one month ago
no of sol. of Ix+2I+IxI+Ix-2I=p ,p belongs to Real no. are?
jagdish singh singh one month ago
draw the graph of given eq. hence getting if p=4 we getone sol.i.e x=0 while for all p>4 two solutions.
Pranav Dabhade one month ago
How To Solve These type of equations... (9x 2- 3x-2)(x 2 -3x+2)=21. what is the Value(s) of “x”??
PFA Otherwise u can form biquadratic and take 21 on other side and try factorizing using hit and trial.
Harsh Patodia one month ago
Write the equation as (3x+1)(3x-2)(x-1)(x-2) = 21 Club the 2 nd and 3 rd factors, and 1 st and 4 th factor to get (3x 2 -5x+2)(3x 2 -5x+2) = 21 or (3 x 2 -5x) 2 – 4 = 21 from which 3x 2 -5x ...
mycroft holmes one month ago
But ,I also want to know how many of the roots are irrational or rational. How I can judje this on number line.
Kuldeep Pal one month ago
Plz solve this
HInt:- For first question replace x + y = t and try to find it out. For second apply the formula of product rule of differenciation.
Vijay Mukati one year ago
Plez help me to solve it . which formula used in it . & how.
The attchment image quality is very poor, and the whole formula is also not visible. May be you should verify the attachment before posting.
Ajay 2 months ago
The orthocentre of a triangle formed by the pair of x+y+1=0lines 2(x^2)-xy-(y^y)+x+2y-1=0.
Differentiate the eqn. 2(x^2)-xy-(y^y)+x+2y-1=0. once w.r.t x and y separetly and get the relation in x and y eqns. then u have three eqns. for a triangle. apply the orthocentre formulae.
Vikas TU 2 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 550 off

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details