First slide

Pair of straight lines

Question

Angle between the pair of lines $2 x^{2} - 7 x y + 3 y^{2} + 3 x + y - 2 = 0$

Moderate

A

$\frac{π}{2}$
B

$\frac{π}{3}$
C

$\frac{π}{4}$
D

$\frac{π}{6}$

Solution

$a = 2, 2 h = - 7, b = 3, 2 g = 3, 2 f = 1, c = - 2$
$\cos θ = \frac{| a + b |}{\sqrt{{(a - b)}^{2} + 4 h^{2}}} = \frac{1}{\sqrt{2}}$

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