Home
Class 12
MATHS
Let A=[{:(alpha^(2),5),(5,-alpha):}]and|...

Let `A=[{:(alpha^(2),5),(5,-alpha):}]and|A^(10)|=1024`, the `alpha` is equal to a)2 b)-2 c)3 d)-3

A

2

B

`-2`

C

3

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, alphabeta=3 and a,b,c are in AP, then alpha+beta is equal to a)-4 b)1 c)4 d)-2

If A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)] then A^(10) is equal to

If A(alpha, beta) = [(cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),(0,0,e^beta)] then A(alpha, beta)^(-1) is equal to a) A(-alpha, -beta) b) A(-alpha,beta) c) A(alpha, - beta) d) A(alpha, beta)

Let A = ({:( alpha , 0),(1,1):})and B = ({:(1, 0),(5,1):}) be two matrices where alpha is a real number. Then

If A = [(alpha, 0),(1,1)] and B = [(1,0),(3,1)] then value of alpha for which A^(2) = B is a)1 b)-1 c)I d)No real value of alpha

If A_(alpha)=[(cos alpha,sinalpha),(-sinalpha,cosalpha)] then A_(alpha) A_(beta) is equal to A) A_(alpha beta) B) A_(alpha +beta) C) A_(alpha - beta) D)None of these

If f(alpha)=|{:(1,alpha,alpha^(2)),(alpha,alpha^(2),1),(alpha^(2),1,alpha):}| , then f(root(3)(3)) is equal to

cot^(-1)(sqrtcosalpha)-tan^(-1)(sqrt(cos alpha))=x , then sin x is equal to a) tan^2""alpha/2 b) cot^2""alpha/2 c) tan alpha d) cot ""alpha/2