Find the values of `k` for which the points `(2k ,3k),(1,0),(0,1),a n d(0,0)` lie on a circle.

Find the value of ‘K’ for which the points are collinear (K, K) (2, 3) and (4, -1).

For what value of k are the points (k ,2-2k),(-k+1,2k)a n d(-4-k ,6-2k) collinear?

Find the value of k for which the equation x^2 −6x+k=0 has distinct roots.

Find the value of k and b, if the points P(-3, 1) and Q(2, b) lie on the locus of x^(2)-5x+ky=0 .

Find the value of k for which the quadratic equation (k+4)x^(2) + (k+1)k+1=0 has equal roots

Find the value of 'k' for which the roots of the equation (5k-6)x^(2) + 2kx+1=0 are real and equal .

Find the value of 'k' for which the roots of the following equations are real and equal (5k-6)x^(2)+2kx+1=0

Find the values of k so that the equation x^(2)-2x(1+3k)+7(3+2k)=0 has real and equal roots.