Home
Class 12
MATHS
If A=[{:(alpha,beta),(gamma,-alpha):}] i...

If `A=[{:(alpha,beta),(gamma,-alpha):}]` is such that `A^(2)=I`, then ……

A

`1+alpha^(2)+betagamma=0`

B

`1-alpha^(2)+betagamma=0`

C

`1-alpha^(2)-betagamma=0`

D

`1+alpha^(2)-betagamma=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|43 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.4|18 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma):}] is a orthogonal matrix then ………

If 102!=2^(alpha)*3^(beta)*5^(gamma)*7^(delta) …, then

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 . If the absolute value of the expression (alpha-1)/(alpha+2)+(beta-1)/(beta+2)+(gamma-1)/(gamma+2) can be expressed as (m)/(n) where m and n are co-prime the value of |{:(m,n^(2)),(m-n,m+n):}| is

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

If alpha,beta,gamma in R, alpha+beta+gamma=4 " and " alpha^(2)+beta^(2)+gamma^(2)=6 , the number of integers lie in the exhaustive range of alpha is ……… .

If alpha, beta and gamma are direction cosines of the vector vec(x) then 1+cos2alpha+cos 2beta+cos 2lambda= …………..

If alpha, beta, gamma are the roots of the equatiion x^(3)-px^(2)+qx-r=0 find (i) sumalppha^(2) (ii) sumalpha^(2) beta (iii) sum alpha^(3)

If alpha,beta,gamma be the angles which a line makes with the coordinates axes, then