Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

7 of 70 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

   $\begin{vmatrix} x & 4 \\ 2 & 2x \end{vmatrix} = 0 \Rightarrow x =$

   Try it →
2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\begin{vmatrix} \cos 15^\circ & \sin 15^\circ \\ \sin 75^\circ & \cos 75^\circ \end{vmatrix} =$

   Try it →
3. Q4 2026 Set A2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   Prove that $\begin{vmatrix}0&a&b\\c&0&b\\c&a&0\end{vmatrix}=2abc$.

   Try it →
4. Q5 2026 Set A2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B

   Find the value of $x$, when $\begin{vmatrix}2x&8\\4&x\end{vmatrix}=0$.

   Try it →
5. Q11 2026 Set F

   $\begin{vmatrix}x&4\\2&2x\end{vmatrix}=0 \Rightarrow x=$

   Try it →
6. Q12 2026 Set H

   Prove that $\begin{vmatrix} 0 & a & b \\ c & 0 & b \\ c & a & 0 \end{vmatrix} = 2abc$.

   Try it →
7. Q14 2026 Set J2026 Set H

   Find the value of $x$, when $\begin{vmatrix} 2x & 8 \\ 4 & x \end{vmatrix} = 0$.

   Try it →