First slide

Pair of straight lines

Question

The acute angle between the lines ${(5 x - 2 y)}^{2} - 3 {(2 x + 5 y)}^{2} = 0$ is

Moderate

A

$\frac{π}{6}$
B

$\frac{π}{4}$
C

$\frac{π}{3}$
D

$\frac{π}{2}$

Solution

$\tan^{2} α = 3 \Rightarrow α = \frac{π}{3}$

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