>
Exams
>
Mathematics
>
Determinant
>
if bmatrix x 4 2x 2x 0 3em 2x x 4 2x 0 3em 2x 2x x
Question:
If
\(\begin{bmatrix} x+4 & 2x & 2x \\[0.3em] 2x & x+4 & 2x\\[0.3em] 2x & 2x & x+4 \end{bmatrix}=\lambda(4-x)^2\)
,then value of
\(\lambda \)
is
CUET (UG) - 2023
CUET (UG)
Updated On:
May 21, 2024
\(\lambda=4x+5\)
\(\lambda=5x+4\)
\(\lambda=4-x\)
\(\lambda=x-4\)
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is (B):
\(\lambda=5x+4\)
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Determinant
Match List - I with List II. If
\(A = \begin{vmatrix}3&-2&3 \\2 &1 &-1 \\4 &-3 &2\end{vmatrix}\)
LIST I
LIST II
A
.
M
23
I
.
-17
B
.
A
32
+a
13
II
.
-1
C
.
A
III
.
0
D
.
a
13
A
12
+a
23
A
22
+a
33
A
32
IV
.
12
Choose the correct answer from the options given below:
CUET (UG) - 2023
Mathematics
Determinant
View Solution
Let
\(\begin{vmatrix}3x&-7\\1&4\end{vmatrix}=\begin{vmatrix}3&2\\ 4&x\end{vmatrix}\)
, then value of x is:
CUET (UG) - 2023
Mathematics
Determinant
View Solution
The value of the determinant
\(\begin{vmatrix}acosθ&bsinθ&0 \\-bsinθ&acosθ&0\\ 0&0&c\end{vmatrix}\)
is:
CUET (UG) - 2023
Mathematics
Determinant
View Solution
The value of
\(K\)
,If
\(\begin{bmatrix} 1 & K & 3 \\[0.3em] 3 & K & -2 \\[0.3em] 2 & 3 & -1 \end{bmatrix}=33\)
,is :
CUET (UG) - 2023
Mathematics
Determinant
View Solution
\(\begin{vmatrix} 2x & 3 \\[0.1em] 5x & x \end{vmatrix}\)
=
\(\begin{vmatrix} 16 & 3 \\[0.1em] 5 & 2 \end{vmatrix}\)
the value of
\(x\)
is
CUET (UG) - 2023
Mathematics
Determinant
View Solution
View More Questions
Questions Asked in CUET exam
A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)
n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:
CUET (UG) - 2024
Solutions
View Solution
Who devised the concept of Intelligence Quotient (IQ)?
CUET (UG) - 2024
Psychological attributes
View Solution
Two pipes A and B can fill a tank in 32 minutes and 48 minutes respectively. If both the pipes are opened simultaneously, after how much time B should be turned off so that the tank is full in 20 minutes?
CUET (UG) - 2024
Time and Work
View Solution
If
\(A = \begin{bmatrix} 3 & 2 \\ -1 & 1 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} -1 & 0 \\ 2 & 5 \\ 3 & 4 \end{bmatrix},\)
then \((BA)^T\) is equal to:
CUET (UG) - 2024
Matrices
View Solution
The spin-only magnetic moment of Hexacyanomanganate(II) ion is.........BM
CUET (UG) - 2024
Magnetic moment
View Solution
View More Questions