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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
Let \(\Delta=\left|\begin{array}{ccc}\mathrm{A} x & x^2 & 1 \\ \mathrm{~B} y & y^2 & 1 \\ \mathrm{C} z & z^2 & 1\end{array}\right|\) and \(\Delta_1=\left|\begin{array}{ccc}\mathrm{A} & \mathrm{B} & \mathrm{C} \\ x & y & z \\ z y & z x & x y\end{array}\right|\), then
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Question 2 of 5
NCERT Exemplar
The value of determinant \(\left|\begin{array}{lll}a-b & b+c & a \\ b-a & c+a & b \\ c-a & a+b & c\end{array}\right|\)
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Question 3 of 5
NCERT Exemplar
If \(f(x)=\left|\begin{array}{ccc}0 & x-a & x-b \\ x+a & 0 & x-c \\ x+b & x+c & 0\end{array}\right|\), then
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Question 4 of 5
NCERT Exemplar
The determinant \(\left|\begin{array}{lll}b^2-a b & b-c & b c-a c \\ a b-a^2 & a-b & b^2-a b \\ b c-a c & c-a & a b-a^2\end{array}\right|\) equals
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Question 5 of 5
CBSE Board Exam 2026
If \(\mathrm{A}(\operatorname{adj} \mathrm{A})=\left[\begin{array}{ccc}2026 & 0 & 0 \\ 0 & 2026 & 0 \\ 0 & 0 & 2026\end{array}\right]\), then the value of \(|\operatorname{adj} \mathrm{A}|\) is equal to :
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