Home
Class 12
MATHS
If alpha,beta!=0 , and f(n)""=alpha^n+be...

If `alpha,beta!=0` , and `f(n)""=alpha^n+beta^n` and `|3 1+f(1)1+f(2)1+f(1)1+f(2)1+f(3)1+f(2)1+f(3)1+f(4)|=K(1-alpha)^2(1-beta)^2(alpha-beta)^2` , then K is equal to (1) `alphabeta` (2) `1/(alphabeta)` (3) 1 (4) `-1`

A

`alphabeta`

B

`1/(alphabeta)`

C

1

D

-1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2015|2 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2016|4 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2013|2 Videos
  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

tan (alpha + beta) =1/2, tan(alpha - beta) = 1/3 "then the value of" tan^(2) alpha is-

If cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin2beta)= (a) 1/2 (b) (-1)/2 (c) 1/4 (d) (-1)/4

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =

If p sin (alpha+ beta)= cos (alpha-beta) , then show that (1)/(1- p sin2 alpha)+(1)/(1-p sin 2 beta)=(2)/(1-p^(2)) .

If " "2 cos (alpha + beta) cos (alpha-beta)=1, "show that," tan^(2) alpha = (1-tan^(2) beta)/(1+3 tan^(2) beta)

If p sin (alpha+beta) = cos (alpha -beta) , show that 1/(1-p sin 2alpha)+1/(1-p sin2beta)=2/(1-P^2)

Let tanalpha=a/(a+1) and tan beta=1/(2a+1) then alpha+beta is

If |alpha|,|beta| lt 1, s _(1) =1- alpha +alpha^(2) -alpha^(3)+…oo and s_(2)=1-beta +beta ^(2) -beta ^(3)+…oo then (1-alpha beta +alpha^(2) beta ^(2) -alpha ^(3) beta ^(3) +…oo) is equal to

If cos alpha = k cos beta Show that tan ((alpha+beta)/2)=(1-k)/(1+k)cot((alpha-beta)/2)