If the equation `(k^(2)-3k +2) x^(2) + ( k^(2) -5k + 4)x + ( k^(2) -6k + 5) =0` is an identity then the value of k is

For what value of k(k^(2)-1)x^(2)+(k^(2)-4k+3)x+(k^(2)-3k+2)=0 is an identity in x?

If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2)y+k+3,x+y=1 is consistent then the value of k is

If the roots of the equation 2x^(2) + (k + 1) x + (k^(2) - 5k + 6) = 0 are of opposite signes then show that 2 lt k lt 3.

If the roots of 4x^(2)+5k=(5k+1)x differ by unity,then the negative value of k is

If 3x - 4y + k = 0 is a tangent to x^(2) - 4y^(2) = 5 find the value of k.

If the equation (K^2-5K+6)x^2+(K^2-3k+2)x+(K^2-4)=0 has more than two roots, then the value of K is-

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