What is the General equation of second degree and condition for represent pair of lines ?

General Equations of a Line

Condition to represent pair of lines circle and conic

Which of the following second , degree eqation represented a pair of straight lines ?

Homogenization Of Second Degree Equation

Which of the following represents pair of lines?

Which of the following equation does not represent a pair of lines ?

Which of the following equation does not represent a pair of lines ?

Under what condition do > represent direction cosines of a line ?

Find the value of K for which the equation 2x^2 - xy +Ky^2 + 8x +7y-10=0 may represent a pair of lines. For this value of K show that this equation can be transformed into a homogeneous equation of second degree by translating the origin to a properly chosen point. Also find the acute angle between the line pair represented by the given general equation.

Do the equations 4x + 3y =5 and 12 x +9y =15 represent a pair of coincident lines ?