First slide

Pair of straight lines

Question

The equation $k x^{2} + 4 x y + 5 y^{2} = 0$ represents two lines inclined at an angle $π$ then k is

Moderate

A

0.80
B

0.71
C

0.98
D

0.10

Solution

$a = k, 2 h = 4, b = 5$
$h^{2} = a b \Rightarrow k = \frac{4}{5}$

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