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Question
Show that 2x2 + 3xy − 2y2 + 3x + y + 1 = 0 represents a pair of perpendicular lines
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Solution
Comparing the given equation with the general form a = 2
h = `3/2`
b = – 2
g = `3/2`
f = `1/2`
c = 1
Condition for two lines to be perpendicular is a + b = 0.
Here a + b
= 2 – 2
= 0
⇒ The given equation represents a pair of perpendicular lines.
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