The equation `x^(2)-7xy-y^(2)=0` represents

If the equation 7x^(2)-kxy-7y^(2)=0 represents the bisectors of angles between the lines 2x^(2)-7xy+4y^(2)=0 then: k=

Prove that the equation 2x^(2)+xy-6y^(2)+7y-2=0 represents a pair of straight lines.

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

If the equation 2x^(2)+7xy+3y^(2)-9x-7y+k=0 represents a pair of lines, then k is equal to

If the equation 2x^(2)+7xy+3y^(2)-9x-7y+k=0 represents a pair of lines, then k is equal to

Prove that the equation 3x^(2)+7xy+2y^(2)+5x+5y+2=0 represents a pair of straight lines. Find the point of intersection. Also find the angle between them.

The equation x^2 - 8x +2y +7 = 0, represents