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Question
Find the combined equation of the following pair of line:
2x + y = 0 and 3x − y = 0
Solution
The combined equation of the lines 2x + y = 0 and 3x − y = 0 is
(2x + y)(3x − y) = 0
∴ 6x2 − 2xy + 3xy − y2 = 0
∴ 6x2 + xy − y2 = 0
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