Teachoo MCQ Test

Short Quiz

Chapter 4 Class 12 Determinants | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 360
Question 1 of 5
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Question 1 of 5
NCERT Exemplar
If A and B are invertible matrices, then which of the following is not correct?
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Question 2 of 5
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The value of the determinant \(\left|\begin{array}{ccc}x & x+y & x+2 y \\ x+2 y & x & x+y \\ x+y & x+2 y & x\end{array}\right|\) is
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Question 3 of 5
NCERT Exemplar
Let \(f(t)=\left|\begin{array}{ccc}\cos t & t & 1 \\ 2 \sin t & t & 2 t \\ \sin t & t & t\end{array}\right|\), then \(\lim _{t \rightarrow 0} \frac{f(t)}{t^2}\) is equal to
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Question 4 of 5
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If \(x, y, z\) are all different from zero and \(\left|\begin{array}{ccc}1+x & 1 & 1 \\ 1 & 1+y & 1 \\ 1 & 1 & 1+z\end{array}\right|=0\), then value of \(x^{-1}+y^{-1}+z^{-1}\) is
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Question 5 of 5
NCERT Exemplar
The number of distinct real roots of \(\left|\begin{array}{ccc}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0\) in the interval \(-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}\) is
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