Download App

Determinants MATHS - Determinants

Rajasthan Board (RBSE) - STD 12 Science - MATHS (Rajasthan - English Medium). 259 questions in this chapter.

Question types

Determinants question types

259 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

259
Questions
4
Question groups
5
Question types
Sample Questions

Determinants questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
If $\begin{vmatrix}\text{a}&\text{p}&\text{x}\\\text{b}&\text{q}&\text{y}\\\text{c}&\text{r}&\text{z}\end{vmatrix}=16,$ then the value of $\begin{vmatrix}\text{p}+\text{x}&\text{a}+\text{x}&\text{a}+\text{p}\\\text{q}+\text{y}&\text{b}+\text{y}&\text{b}+\text{q}\\\text{r}+\text{z}&\text{c}+\text{z}&\text{c}+\text{r}\end{vmatrix}$ is:
  1. 4
  2. 8
  3. 16
  4. 32
View full solution →
Q 3M.C.Q (1 Marks)1 Mark
If $\text{D}_\text{k}=\begin{vmatrix}1&\text{n}&\text{n}\\2\text{k}&\text{n}^2+\text{n}+2&\text{n}^2+\text{n}\\2\text{k}-1&\text{n}^2&\text{n}^2+\text{n}+2\end{vmatrix} $ and $\sum\limits_{\text{k}=1}^\text{n}\text{D}_\text{k}=48,$ then n equals:
  1. 4
  2. 6
  3. 8
  4. None of these.
View full solution →
Q 4M.C.Q (1 Marks)1 Mark
Let $\begin{vmatrix}\text{x}^2+3\text{x}&\text{x}-1&\text{x}+ 3\\\text{x}+1&-2\text{x}&\text{x}-4\\\text{x}-3&\text{x}+4&3\text{x}\end{vmatrix}=\text{ax}^4+\text{bx}^3+\text{cx}^2+\text{dx}+\text{e}$ be an identity in $x,$ where $a, b, c, d, e $ are independent of $x$. Then the value of $e$ is:
  • A
    $4$
  • ✓
    $0$
  • C
    $1$
  • D
    None of these.

Answer: B.

View full solution →
Q 5M.C.Q (1 Marks)1 Mark
Which of the following is not correct?
  1. $|\text{A}|=|\text{A}^{\text{T}}|,$ where $\text{A}=[\text{a}_{\text{ij}}]_{3\times3}$
  2. $|\text{kA}|=|\text{k}^3|,$ where $\text{A}=[\text{a}_{\text{ij}}]_{3\times3}$
  3. If a is a skew-symmetric of odd order, then |A| = 0
  4. $\begin{vmatrix}\text{a}&\text{c}\\\text{e}&\text{g} \end{vmatrix}+\begin{vmatrix}\text{b}&\text{c}\\\text{f}&\text{g} \end{vmatrix}+\begin{vmatrix}\text{a}&\text{d}\\\text{e}&\text{h}\end{vmatrix}+\begin{vmatrix}\text{b}&\text{d}\\\text{f}&\text{h}\end{vmatrix}$
View full solution →
Q 82 Marks Questions2 Marks
If $\begin{vmatrix}2\text{x}&\text{x}+3\\2(\text{x}+1)&\text{x}+1\end{vmatrix}=\begin{vmatrix}1&5\\3&3\end{vmatrix},$ then write the value of x.
View full solution →
Q 185 Marks Questions5 Marks
An automobile company uses three types of steel $S_1, S_2$ and $S_3$ for producing three types of cars $C_1, C_{2 }$ and $C_3.$ Steel requirements $($in tons$)$ for each type of cars are given below:
Steel
Cars
 
 $C_1$ $C_2$ $C_3$
$S_1$ $2$ $3$ $4$
$S_2$ $1$ $1$ $2$
$S_3$ $3$ $2$ $1$
Using Cramer's rule, find the number of cars of each type which can be produced using $29, 13$ and $16$ tons of steel of three types respectively.
View full solution →
Q 205 Marks Questions5 Marks
Show that the following systems of linear equations has infinite number of solutions and solve: $2x + y - 2z = 0,x - 2y + z = -2,5x - 5y + z = -2$
View full solution →
Browse all question groups ↑

Generate a Determinants paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll MATHS chapters