First slide

Pair of straight lines

Question

The equation $a x^{2} + b y^{2} + c x + c y = 0$ represents a
pair of straight lines if

Moderate

A

$a = 0$
B

$b = 0$
C

$a + b = 0$
D

none of these

Solution

If $a + b = 0$ , the lines are
$(x + y) (a x - a y + c) = 0$

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