[" (19) "(k-1)x-y=5],[(k+1)x+(1-k)y=(3k+1)]

Find the value of k for which the system of equation (k-1)x-y=5,(k+1)x+(1-k)y=(3k+1) has infinite no of solution

Find the value k if the following equations are consistent (k+1)x+(k-1)y+(k-1)=0,(k-1)x+(k+1)y+(k-1)=0,(k-1)x+(k-1)y+(k+1)=0

Find the value k if the following equations are consistent (k-2)x+(k-1)y=17,(k-1)x+(k-2)y=18 and x+y=5

{:(2x + 3y = 2),((k + 2)x + (2k + 1)y = 2(k - 1)):}

Find the value of k that the following system of linear equation has no solution (3k+1)x+3y-2=0, (k^2+1)x+(k-2)y-5=0 .

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

det [[x ^ (k), x ^ (k + 2), x ^ (k + 3) y ^ (k), y ^ (k + 2), y ^ (k + 3) z ^ (k) , z ^ (k + 2), z ^ (k + 3)]] = (xy) (yz) (zx) {(1) / (x) + (1) / (y) + (1) / ( from)}