Home
Class 12
MATHS
Let A=[(0,2),(0,0)]and (A+1)^100 -100A=[...

Let `A=[(0,2),(0,0)]and (A+1)^100 -100A=[(alpha,beta),(gamma,delta)],` then `alpha+beta+gamma+delta=...`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - H) Multiple True - False Type Questions|2 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - I) Subjective Type Questions|3 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - F) Matrix - Match Type Question|1 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If cos (alpha + beta) sin (gamma + delta) = cos (alpha - beta) sin (gamma - delta) then:

Let [1,3] be domain of f(x) .If domain of f(log_(2)(x^(2)+3x-2)) is [-alpha,-beta]uu[gamma ,delta]; alpha ,beta ,gamma ,delta>0 then the value of (alpha+beta+2 gamma+3 delta)/(17) is

If |((beta+gamma-alpha -delta)^4 , (beta+gamma-alpha-delta)^2,1),((gamma+alpha-beta-delta)^4, (gamma+alpha-beta-delta)^2,1),((alpha+beta-gamma-delta)^4, (alpha + beta-gamma-delta)^2,1)|=-k(alpha -beta)(alpha -gamma)(alpha-delta)(beta-gamma)(beta-delta)(gamma-delta) , then the value of (k)^(1//2) is ____

If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) then the value of cot alpha cot beta cot gamma, is

If cos(alpha+beta)sin(gamma +delta) = cos(alpha-beta)sin(gamma-delta) , then the value of cotalpha*cotbeta.cotgamma is :

alpha,beta are the roots of the equation x^(2)-4x+lambda=0, and gamma,delta are the roots of the equation x^(2)-64x+mu=0. If alpha,beta,gamma,delta form an increasing G.P,find the values of alpha,beta,gamma,delta

Prove that |{:(2,alpha+beta+gamma+delta,alphabeta +gammadelta),(alpha+beta+gamma+delta,2(alpha+beta)(gamma+delta),alphabeta(gamma+delta)+gammadelta(alpha+beta)),(alphabeta+gammadelta,alphabeta(gamma+delta)+gammadelta(alpha+beta),2alphabetagamma delta):}| =0

Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),((gamma+alpha-beta-delta)^4,(gamma+alpha-beta-delta)^2,1),((alpha+beta-gamma-delta)^4,(alpha+beta-gamma-delta)^2,1)|=-64(alpha-beta)(alpha-gamma)(alpha-delta)(beta-delta)(gamma-delta)

the points (alpha,beta),(gamma,delta),(alpha,delta),(gamma,beta) are different real numbers are:

Let alpha,beta,gamma be the complex roots of x^(3)-1=0 then,alpha+beta+gamma is equal to

Knowledge Check

  • If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) then the value of cot alpha cot beta cot gamma, is

    A
    `cot alpha`
    B
    `cot beta`
    C
    cot delta`
    D
    `cot (alpha+beta+gamma+delta)`

  • If cos(alpha+beta)sin(gamma +delta) = cos(alpha-beta)sin(gamma-delta) , then the value of cotalpha*cotbeta.cotgamma is :

    A
    `cotalpha`
    B
    `cotbeta`
    C
    `cotdelta`
    D
    `cot(alpha+beta+gamma+delta)`