Home
Class 12
MATHS
p,q,r are distinct cube roots of non-zer...

p,q,r are distinct cube roots of non-zero complex number z. Let `a,b,c` be complex numbers satisfying `ap+bq+crne0`. Then find the value of `((aq+br+cp)(ar+bp+cq))/((ap+bq+cr)^2)`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -I|10 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -II|58 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (LONG ANSWER QUESTIONS)|21 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., then (p)/(r ) + (r )/(p) =

Let alpha and beta be the roots of equation px^2 +qx+r =0 , p ne 0, if p,q, r are in A.P and (1)/ alpha +(1)/( beta ) =4 then the value of | alpha - beta | is

Let alpha,beta be real and z be a complex number If z^2+alphaz+beta=0 has two distinct roots on the line Re z = 1 , then it is necessary that :

Theorem : Let a, b, c in R and a ne 0. Then the roots of ax^(2)+bx+c=0 are non-real complex numbers if and only if ax^(2)+bx+c and a have the same sign for all x in R .

If z_(1), z_(2) are two non-zero complex numbers satisfying |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , show that Arg z_(1) - Arg z_(2)=0

A(z_(1)) and B(z_(2)) are two points in the argand plane then the locius of the complex number z satisfying arg (z-z_(1))/(z-z_(2))=0 or pi is

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): (ax+b)(cx+d)^(2)

In column - I report values of some physical quantities (or) calculations are mentioned and column - II, the number of significant figures are mentioned. Match column - I values appropriately to those mentioned in column - II {:(,"Column - I",,"Column - II"),((A),(3.20+4.80)xx10^(5),(P),4),((B),0.030,(Q),2),((C ),(3.8xx10^(-6))+(4.2xx10^(-5)),(R ),3),((D),3.033,(S),2):}