Home
Class 12
MATHS
If [[alpha, beta], [gamma, -alpha]] is t...

If `[[alpha, beta], [gamma, -alpha]]` is to be square root of two-rowed unit matrix, then `alpha,beta` and `gamma` should satisfy the relation. a. `1-alpha^2+betagamma=0` b. `alpha^2+betagamma=0` c. `1+alpha^2+betagamma=0` d. `1-alpha^2-betagamma=0`

A

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

B

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

C

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

D

1-alpha-betalambda=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

. If A = [[alpha,beta],[gamma,-alpha]] is such that A^2 = I , then:

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

A line makes angles alpha,beta and gamma with the coordinate axes. If alpha+beta=90^0, then find gamma .

Prove that |[[alpha,beta,gamma],[alpha^2,beta^2,gamma^2],[alpha^3,beta^3,gamma^3]]|= alpha beta gamma (alpha-beta)(beta-gamma)(gamma-alpha)

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to:

If alpha and beta are the roots of x^2+x+1=0 , then alpha^16 + beta^16 =

If alpha+beta+gamma=2pi , then show that tan.alpha/2 + tan.beta/2 + tan.gamma/2 = tan.alpha/2 tan.beta/2 tan.gamma/2 .