The value of `K` for which the equation `(K-1)x^(2)+(K-1)y^(2)+(K^(2)-3K+2)xy+2x+(K-1)y-4=0` represents circle is

The set of real values of k for which the equation (k+1)x^(2)+2(k-1)xy+y^(2)-2x+2y+3=0 represents an ellipse is

If the equation (K(x+1)^(2))/(3) + ((y + 2 )^(2))/(4) =1 represents a ciecle, then K =

The values of 'K' for which the equation |x|^(2)(|x|^(2)2k+1)=1-k^(2), has No root when k belongs to

The equation x^(2)+k_(1)y^(2)+k_(2)xy=0 represents a pair of perpendicular lines if

If the equation (k+1)x^(2)-6xy+(k-7)y^(2)=0 represents a pair of coincident lines, If k=

Set of values of 'K' for which roots of the quadratic x^(2)-[2K-1)x+K(K-1)=0 are

The value of k for which the pair of linear equation -1=0 and 2x+ky-7=0 represent parallel lines is k=3( b) k=2 (c) k=4( d) k=-2

The value of k ,such that the equation, 2x^(2)+2y^(2)-6x+8y+k=0 represents a point circle,is

The value of k for which the circle x ^(2) +y ^(2) - 4x + 6y + 3=0 will bisect the circumference of the circle x ^(2) + y ^(2) + 6x - 4y + k =0 is