Q226 / 270 · NDA 2023 (Phase 1) · Mathematics

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Question: What is $f(0)$ equal to?

  • A
    $-1$
  • Correct answer
    B
    $0$
  • C
    $1$
  • D
    $2$

Solution

$\begin{aligned} & f(x)=\left|\begin{array}{ccc}\cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1\end{array}\right| \\ & f(0)=\left|\begin{array}{ccc}\cos 0 & 0 & 1 \\ 2 \sin 0 & 0 & 0 \\ \tan 0 & 0 & 1\end{array}\right|=0\end{aligned}$

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

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