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Model Paper 9 — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsModel Paper 91 Mark
MCQ
The acute angle between the lines $y = 2x$ and $y = - 2x$ is
  • A
    greater than $60^{\circ}$
  • B
    $90^{\circ}$
  • ✓
    less than $60^{\circ}$
  • D
    $60^{\circ}$
✓

Answer

Correct option: C.
less than $60^{\circ}$
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,
$\tan \theta=\frac{2-(-2)}{1+2 \cdot(-2)}$
$=\frac{4}{5}<60^{\circ}$

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