First slide

Pair of straight lines

Question

If $x^{2} + 4 x y + 4 y^{2} + 4 x + c y + 3$ can be written as a product of two linear factors then c =

Moderate

A

2
B

3
C

8
D

4

Solution

$a = 1, 2 h = 4, b = 4, 2 g = 4, 2 f = c . c = 3$
$a b c + 2 f g h - a f^{2} - b g^{2} - c h^{2} = 0; c = 8$

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