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Determinants Maths - Determinants

Uttarakhand Board (UBSE) - STD 12 Science - Maths (Uttarakhand - 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 2M.C.Q (1 Marks)1 Mark
$\begin{vmatrix}\log_3512&\log_43\\\log_38&\log_49\end{vmatrix}\times\begin{vmatrix}\log_23&\log_83\\\log_34&\log_34\end{vmatrix}$
  • A
    7
  • ✓
    10
  • C
    1
  • D
    17

Answer: B.

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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:
  • ✓
    4
  • B
    6
  • C
    8
  • D
    None of these.

Answer: A.

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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.

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Q 5M.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:
  • A
    4
  • B
    8
  • C
    16
  • ✓
    32

Answer: D.

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Q 165 Marks Questions5 Marks
A salesman has the following record of sales during three months for three items A, B and C which have different rates of commission.
Month
Sale of units
Total commission drawn (in Rs.)
 
A
B
C
 
Jan
90
100
20
800
Feb
130
50
40
900
March
60
100
30
850
 
Find out the rates of commission on items A, B and C by using determinant method.
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