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

The equation x^(2)+y^(2)-6x+8y+25=0 represents

The equation,2x^(2)+3y^(2)-8x-18y+35=K represents

The value of k, so that the equation -2x^(2)+xy+y^(2)-5x+y+k=0 may represent straight line is

Find the value of k, if the equation 2x^(2) + 4xy - 2y^(2) + 4x + 8y + k = 0 represents a pair of lines, Further find whether these lines are parallel or intersecting.

If the equation 2x^(2)+4xy-2y^(2)+4x+8y+k=0 represents a pair of line, then k=

If the equation x^(2)+3xy+2y^(2)+x-y+k=0 represents a pair of line, then k=

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

3x^2+4y^2-6x+8y+k=0 represents an ellipse with eccentricity 1/2,

If the equation K(x^(2)+y^(2))=(3x-y)^(2) represents a pair of coincident lines, then k=