Pair of Straight Lines
Equation of Pair of Straight Liines
Pair of straight Lines

Equation of a pair of straight lines
The general form of equation of second degree is:
… (1)
Equation (1) will represent a pair of straight lines if

Quadratic form of equation of a pair of straight lines
The equation can also be written as:
by^{2} + 2(hx + f)y + ax^{2} + 2gx + c = 0
By quadratic formula, we get:
The nature of lines can be determined w.r.t. the value of h^{2} − ab as follows:
Case 
Nature of lines 
h^{2 }− ab > 0 
Pair of nonparallel lines 
h^{2}^{ }− a… 
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