If the system of linear equations `x-4y+7z=g`, `3y-5z=h`, `-2x+5y-9z=k` is consistent, then (a) `g+2h+k=0` (b) `g+h+2k=0` (c) `2g+h+k=0` (d) `g+h+k=0`

For what value of k, the system of linear equations x-3y+kz=0, 2x+y+3z=-1, 3x-2y+2z=1 has a unique solution? a) K=1 b)k!=1 c) K!=-1 d) K=0

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

The number of solution of the system of equations: 2x+y-z=7x-3y+2z=1, is 3x+2y+kz=4 has a unique solution if k!=0 (b) -1

Solve the following systems of linear homogenous equations : 3x+2y+7z=0 , 4x-3y-2z=0 and 5x+9y+23z=0

If (h,k,1) is the solution of 2x+3y+z=9,x+2y+3z=6 and 3x+y+2z=8 then h+k+l=

The number of value of k for which the linear equations 4x+k y+2z=0k x=4y+z=0 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

A solution set of the equations x-3y-8z+10=0,3x+y-4z=0, 2x+5y+6z=13 is (A)(2K+1,3-2K,K) (B) (2K-1,3+2K,K) (C) (1-2K,3-2K,K) (D) (2K-1,3-2K,K)

From the two systems of line x-h=0, h=0,1,2,3,4,5 and y-k=0, k=0,1,2,3 the number of squares that can be formed is