✓ Board-verified
Mathematics · 2025 · 1 mark
CBSE 2025 · Region 5 · Set 1 · Q4
If |2 x, 5; 12, x| = |6, -5; 4, 3|, then the value of x is:
If $\displaystyle \left|\begin{array}{rr}2 \mathrm{x} & 5 \\ 12 & \mathrm{x}\end{array}\right|=\left|\begin{array}{rr}6 & -5 \\ 4 & 3\end{array}\right|$, then the value of x is :
Official answer
(C)
$\displaystyle \pm 7$
More from Determinants
- If a_ij and A_ij represent the (ij)th element and its cofactor of [2, -3, 5; 6, 0, 4; 1, 5, -7] respectively, then the value of a_11 A_21+a_12…2024
- If (a, b), (c, d) and (e, f) are the vertices of ABC and Δ denotes the area of ABC, then |a, c, e; b, d, f; 1, 1, 1|^2 is equal to2023
- If |-1, 2, 4; 1, x, 1; 0, 3, 3 x| =-57, the product of the possible values of x is:2025
- If A and B are two square matrices each of order 3 with |A|=3 and |B|=5, then |2 AB| is:2025
- Find A^-1, if A= [1, 2, 1; 2, 3, -1; 1, 0, 1]. Hence, solve the following system of equations: x+2 y+z=5; 2 x+3 y=1; x-y+z=82024
- The value of |8, 2, 7; 12, 3, 5; 16, 4, 3| is:2024
- If |1, 3, 1; k, 0, 1; 0, 0, 1| = ± 6, then the value of k is:2024
- If |A|=2, where A is a 2 × 2 matrix, then |4 A^-1| equals:2023
CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.