If alpha " and "beta are different compl...

If `alpha " and "beta` are different complex numbers with `|beta|=1`, then find `|(beta - alpha)/(1-bar(alpha)beta)|`.

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 22|1 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 23|1 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 20|1 Videos
COMBINATORICS AND MATHEMATICAL INDUCTION
NCERT TAMIL|Exercise EXERCISE 4.5|25 Videos
CONIC SECTIONS
NCERT TAMIL|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

If alpha" and "beta are complex numbers such that |beta|=1, " then "|(beta - alpha)/(1-bar(alpha)beta)|=

alpha beta x ^(alpha-1) e^(-beta x ^(alpha))

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

Find the centre and radius of the circle formed by all thepoints represented by z = x + iy satisfying the relation |(z-alpha)/(z-beta)|= k (k !=1) , where alpha and beta are the constant complex numbers given by alpha = alpha_1 + ialpha_2, beta = beta_1 + ibeta_2 .

If alpha" and "beta are complex cube roots of unity and x=a alpha+ b beta, y= a+b, z= a beta+b alpha , then xyz is equal to

If alpha and beta are non-zero real number such that 2(cos beta-cos alpha)+cos alpha cos beta=1. Then which of the following is treu?

Q. Let p and q real number such that p!= 0 , p^2!=q and p^2!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

If alpha,beta "and" gamma are real number without expanding at any stage prove that |{:(1,cos(beta-alpha),cos(gamma-alpha)),(cos(alpha-beta),1,cos(gamma-beta)),(cos(alpha-gamma),cos(beta-gamma),1):}| =0.

If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value of (1+ alpha)/(1-alpha) + (1+ beta) / (1 - beta) + (1 + gamma) / (1 - gamma) is

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

NCERT TAMIL-COMPLEX NUMBERS AND QUADRATIC EQUATIONS -MISCELLANEOUS EXERCISES ON CHAPTER 21

If alpha " and "beta are different complex numbers with |beta|=1, then...
Text Solution
|