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Question
Find the separate equation of the following pair of straight lines
3x2 + 2xy – y2 = 0
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Solution
Factorising 3x2 + 2xy – y2 we get
3x2 + 3xy – xy – y2 = 3x(x + y) – y(x + y)
= (3x – y)(x + y)
So 3x2 + 2xy – y2 = 0
⇒ (3x – y)(x + y) = 0
⇒ 3x – y = 0 and x + y = 0
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