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

{:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):}

Find the values of k for which the following pair of linear equations has infinitely many solutions : 2x - 3y = 7, ( k + 1 ) x + ( 1 - 2k) y = ( 5k - 4) .

5x + 2y = 2k , 2 (k + 1 ) x + ky = (3k + 4)

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)}

Find the value of k for which following system of equations have infinitely many solution: 2x+3y=2,quad (k+2)x+(2k+1)y=2(k-1)

Find the value of k for which following system of equations have infinitely many solution: 2x-3y=7,\ \ \ \ (k+2)x-(2k+1)y=3(2k-1)

The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k + 1, y =2 k -1, z=2k +3, k in R is .....

For what the value of k, the following pair of linear equations have infinitely many solutions : 2x + 3y= 7 and (k+1) x + (2k-1)y= 4k+1

If the lines (x-1)/-3 = (y-2)/(2k) = (z-3)/2 and (x-1)/(3k) = (y-1)/1 = (z-6)/-5 are perpendicular, then find the value of k.