First slide

Pair of straight lines

Question

Angle between the lines $x^{2} + 2 x y \sec α + y^{2} = 0$

Moderate

A

$\frac{π}{2}$
B

$α$
C

$2 α$
D

$\frac{α}{2}$

Solution

$a = 1, 2 b = 2 \sec α, b = 1$
$\cos θ = \frac{| a + b |}{\sqrt{{(a - b)}^{2} + 4 h^{2}}} \Rightarrow \cos θ = \cos α$

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