Q62 / 160 · AP EAMCET 2022 (07 Jul Shift 2) · Mathematics

$2 \cot ^2 \theta-\cot \theta-3=$

  • Correct answer
    A
    $(2 \cot \theta-3)(\cot \theta+1)$
  • B
    $(2 \cot \theta-1)(\cot \theta+3)$
  • C
    $(2 \cot \theta+3)(\cot \theta-1)$
  • D
    $(2 \cot \theta+1)(\cot \theta-3)$

Solution

$\begin{aligned} & 2 \cot ^2 \theta-\cot \theta-3 \\ & =2 \cot ^2 \theta+2 \cot \theta-3 \cot \theta-3 \\ & =(2 \cot \theta-3)(\cot \theta+1)\end{aligned}$

Hence, the correct answer is option: 'A'.

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