Home
Class 12
MATHS
If a matricx [{:(0,2beta,gamma),(alpha,b...

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

A

`alpha=+-(1)/(sqrt(2))`

B

`beta=+-(1)/(sqrt(6))`

C

`gamma=+-(1)/(sqrt(3))`

D

Given all

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK |28 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|48 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 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 p''(x) has real roots alpha,beta,gamma . Then , [alpha]+[beta]+[gamma] 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)

Knowledge Check

  • 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`

  • If A=[(alpha, beta),(gamma, -alpha)] is such that A^(2)=I , then

    A
    `I+alpha^(2)+beta gamma=0`
    B
    `I-alpha^(2)+beta gamma=0`
    C
    `I-alpha^(2)-beta gamma=0`
    D
    `I+alpha^(2)-beta gamma=0`

    • Similar Questions

    Explore conceptually related problems

    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 ……… .

    Explain alpha beta and gamma rays

    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

    Using properties of determinants in Exercise 11 to 15 prove that |{:(alpha,alpha^2,beta+gamma),(beta,beta^2,gamma+alpha),(gamma,gamma^2,alpha+beta):}|=(beta-gamma)(gamma-alpha)(alpha+beta+gamma)(alpha-beta)

    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-gamma)(beta-delta)(gamma-delta)

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

    Home
    Profile