If `|[3,-1],[1,k]|=0` then `k` is equal to?

If for a matrix A , absA=6 and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:} , then k is equal to

Let n be a positive intgeger Let A= sum_(k=0)^(n)(-1)^(k)""^(n)C_(k)[((1)/(2))^(k)+((3)/(4))^(k)+((7)/(8))^(k)+((15)/(16))+((31)/(32))^(k)] If 63a=1-(1)/(2^(30)) then n is equal to ......

If A=[[3k,0],[k,k]] and A^(-1)=[[1,0],[-1,3]] , then the value of k is equal to

If (1+tan5^0)(1+tan10^0)..... (1+tan45^0)=2^(k+1), then k is equal to

If A=[(1,-3), (2,k)] and A^(2) - 4A + 10I = A , then k is equal to

If "|[1,k,3],[3,k,-2],[2,3,-1]| =0," then the value of "k" is

If the plane 2x-3y+6711=0 makes an angle sin ^(-1)(k) with x-axis,then k is equal to

If f(x) = {{:(sin1/x, x ne 0),(k, x =0):} , is continous at x=0, then k is equal to-