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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line2 Marks
MCQ
The acute angle between the lines y = 3 and $y=\sqrt{3} x+9$ is
  • A
    $30^{\circ}$
  • ✓
    $60^{\circ}$
  • C
    $45^{\circ}$
  • D
    $90^{\circ}$
✓

Answer

Correct option: B.
$60^{\circ}$
(B)
$\begin{array}{l} m _1=\sqrt{3}, m_2=0 \\ \tan \theta=\left|\frac{\sqrt{3}-0}{1+0}\right| \\ \Rightarrow \tan \theta=\sqrt{3} \\ \Rightarrow \theta=60^{\circ}\end{array}$

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