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Question
Find the combined equation of the straight lines whose separate equations are x − 2y − 3 = 0 and x + y + 5 = 0
Solution
Separate equations are
x – 2y – 3 = 0
x + y + 5 = 0
So the combined equation is
(x – 2y – 3)(x + y + 5) = 0
x2 + xy + 5x – 2y2 – 2xy – 10y – 3x – 3y – 15 = 0
(i.e) x2 – 2y2 – xy + 2x – 13y – 15 = 0
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