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Determinants — CBSE Class 12 board PYQs

53 past board questions on Determinants, arranged like the paper itself — objective first, long answers last, newest year first in each section. Open any question for its complete solution.

Multiple Choice5 Qs

If $A$ is a square matrix of order $2$ and $∣ A ∣ = - 2$ , then the value of $∣5 A ∣$ is:
CBSE 2024View solution →
If $123 23 a 111$ is a non-singular matrix and $a \in A$ , then the set $A$ is:
CBSE 2023View solution →
If $∣ A ∣ = ∣ k A ∣$ , where $A$ is a square matrix of order $2$ , then sum of all possible values of $k$ is:
CBSE 2023View solution →
If $(a, b), (c, d)$ and $(e, f)$ are the vertices of $Δ A B C$ and $Δ$ denotes the area of $Δ A B C$ , then $a b 1 c d 1 e f 1^{2}$ is equal to:
CBSE 2023View solution →
If $A$ is a square matrix of order $3$ and $∣ A ∣ = 5$ , then the value of $∣2 A^{'} ∣$ is:
CBSE 2020View solution →

Very Short Answer20 Qs

Short Answer1 Qs

If $A = [p 2 2 p]$ and $A^{3} = 125$ , then find the value of $p$ .
CBSE 2019View solution →

Long Answer27 Qs