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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line2 Marks
MCQ
The angle between the lines $y=(2-\sqrt{3}) x+5$ and $y=(2+\sqrt{3}) x-7$ is
  • A
    $30^{\circ}$
  • ✓
    $60^{\circ}$
  • C
    $45^{\circ}$
  • D
    $90^{\circ}$
✓

Answer

Correct option: B.
$60^{\circ}$
(B)
$\begin{array}{l}\theta=\tan ^{-1}\left|\frac{2-\sqrt{3}-2-\sqrt{3}}{1+4-3}\right|=\tan ^{-1}(\sqrt{3}) \\ \Rightarrow \theta=60^{\circ}\end{array}$

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