If `k > 1,` and the determinant of the matrix `A^2 = [(k, kalpha,alpha), (0,alpha,kalpha), (0,0,k)] is \ k^2` then `|alpha|=`

If k gt1 , and the determinant of the matrix A^(2) , where A=[(k,kalpha, alpha),(0,alpha, k alpha),(0,0,k)] is k^(2) then |alpha|=

If k>1, and the determinant of the matrix A^(2)=[[k,k alpha,alpha0,alpha,k alpha0,0,k]] is k^(2) then | alpha|=

If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,0),(0,k)] , then k is equal to

If A=[(cos alpha,sin alpha),(-sin alpha,cos alpha)] and A. adj A=[(k,0),(0,k)] , then k is equal to

If alpha ne 0 and mean deviation of the observations {k alpha }, for k = 1,2, . . . . 50 about its median is 50 , then |alpha| =

If function f (alpha ) = {{:((1 - cos 6 alpha )/(36 alpha ^(2)) if alpha ne 0),(k if alpha = 0):} is continuous at alpha =0 then k = _______________.

If alpha_(1),alpha_(2),alpha_(3),.........,alpha_(n) are the roots of f(x)=0 then the equation whose roots (alpha_(1))/(K),(alpha_(2))/(K),(alpha_(3))/(K),.........(alpha_(n))/(K) is where , K!=0

If the equation k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2) , possesses real solution, then k belongs to

If the equation k sin x + sqrt(k-2)cos x+(tan alpha+cot alpha)=0, 0 lt alpha lt(pi)/(2) , possesses real solution, then k belongs to