The acute angle between the lines y = 2x and y = - 2x is - Vidyadip

MCQ

The acute angle between the lines y = 2x and y = - 2x is

A
greater than $60^{\circ}$
B
$90^{\circ}$
C
less than $60^{\circ}$
D
$60^{\circ}$

✓

Answer

(c) less than $60^{\circ}$
Explanation: The angle between two straight lines is given by $\frac{\left|m_1-m_2\right|}{1+m_1 m_2}$
Here $m _1=2$ and $m _2=-2$
Sustituting the values we get,
$\begin{array}{l}\tan \theta=\frac{2-(-2)}{1+2 \cdot(-2)} \\ =\frac{4}{5}<60^{\circ}\end{array}$

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