Value of k?? #shorts

Value of k, for which A=[(k,8),(4,2k)] is a singular matrix is:

The value of 'k' such that the matrix ((1,k),(-k,1)) is symmetric is :

For what values of k is the system of equations k x + 3y = k - 2 12 x + ky = k inconsistent ?

If 2^(k)-2^(k-1)=8 then the value of k^3 is:

If sin theta=K,-1<=K<=1 then number of values of theta for same value of K in [0,2 pi]

If -5,k and -1 are in AP, then the value of k is equal to

Find the values of k for which k+12, k-6 and 3 are in GP.

The least integral value of 'k' for which (k-1) x ^(2) -(k+1) x+ (k+1) is positive for all real value of x is:

If the value of k , is the points (k, 2-2k) , (1-k, 2k) and (-4-k, 6-2 k) are collinear.

For what value of k are the points (k,2-2k),(-k+1,2k) and (-4-k,6-2k) collinear?