If `x, y, z` are in AP with common difference d and the rank of the matrix `|(4,5,x),(5,6,y),(6,k,z)|` is 2, then the values of d and k are

If x,y,z are in AP with common difference d and the rank of the matrix det[[5,5,x5,6,y6,k,z]] is 2, then

If x, y, z are in arithmetic progression with common difference d, x ne 3d , and the determinant of the matrix [(3, 4sqrt(2),x),(4, 5sqrt(2),y), (5, k, z)] is zero, then the value of K^(2) is:

If x, y , z are in A.P., then the value of the det (A) is , where A = [(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)]

If x, y , z are in A.P., then the value of the det (A) is , where A = [(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)]

If x,y,z, are in A.P., then value of the det A. where A=[(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)] is :

If abs((3,4sqrt2,x),(4,5sqrt2,y),(5,k,z))=0 and x,y,z are in A.P with common difference d , xne3d then value of k^2 is

If [x y4z+6x+y]=[8w0 6] , then find the values of x ,\ y ,\ z\ a n d\ w .

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............