Pair of Straight Lines
Equation of Pair of Straight Liines
Pair of straight Lines
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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
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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 h2 − ab as follows:
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Case |
Nature of lines |
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h2 − ab > 0 |
Pair of non-parallel lines |
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h2 − ab = 0 (i) f 2 − bc > 0 (ii) f 2 − bc = 0 (iii) f 2 − bc < 0 |
Coincident lines Imaginary lines |
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