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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:

by2 + 2(hx + f)y + ax2 + 2gx + c = 0

By quadratic formula, we get:

The nature of lines can be determined w.r.t. the value of h2ab as follows:

Case

Nature of lines

h2 ab > 0

Pair of non-parallel lines

h2 a…

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