>
Exams
>
Mathematics
>
Determinants
>
if x y z are different and a vmatrix x x 2 1 x 3 y
Question:
If x, y, z are different and
\(A=\begin{vmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end{vmatrix}=0\)
, then the value of xyz is :
CUET (UG) - 2023
CUET (UG)
Updated On:
Jun 13, 2024
1
0
-1
2
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is (C) :-1.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Determinants
If \[ f(x) = \begin{vmatrix} x^3 & 2x^2 + 1 & 1 + 3x \\ 3x^2 + 2 & 2x & x^3 + 6 \\ x^3 - x & 4 & x^2 - 2 \end{vmatrix} \] for all \( x \in \mathbb{R} \), then \( 2f(0) + f'(0) \) is equal to
JEE Main - 2024
Mathematics
Determinants
View Solution
Let \( A \) be a \( 3 \times 3 \) matrix and \( \det(A) = 2 \). If
\(n = \det(\text{adj}(\text{adj}(\ldots(\text{adj}(A))\ldots)))\)
with adjoint applied 2024 times, then the remainder when \( n \) is divided by 9 is equal to
\(\_\_\_\_\_.\)
JEE Main - 2024
Mathematics
Determinants
View Solution
If \( \sin\left(\frac{y}{x}\right) = \log_e |x| + \frac{\alpha}{2} \) is the solution of the differential equation \[x \cos\left(\frac{y}{x}\right) \frac{dy}{dx} = y \cos\left(\frac{y}{x}\right) + x\]and \( y(1) = \frac{\pi}{3} \), then \( \alpha^2 \) is equal to
JEE Main - 2024
Mathematics
Determinants
View Solution
If \[ f(x) = \begin{vmatrix} 2 \cos^4 x & 2 \sin^4 x & 3 + \sin^2 2x \\ 3 + 2 \cos^4 x & 2 \sin^4 x & \sin^2 2x \\ 2 \cos^4 x & 3 + 2 \sin^4 x & \sin^2 2x \end{vmatrix} \] then \( \frac{1}{5} f'(0) \) is equal to
JEE Main - 2024
Mathematics
Determinants
View Solution
Let
\(A=\begin{pmatrix}2&0&3\\4&7&11\\5&4&8\end{pmatrix}\)
. Then
WBJEE - 2023
Mathematics
Determinants
View Solution
View More Questions
Questions Asked in CUET exam
Two resistances of 100
\(\Omega\)
and 200
\(\Omega\)
are connected in series across a 20 V battery as shown in the figure below. The reading in a 200
\(\Omega\)
voltmeter connected across the 200
\(\Omega\)
esistance is _______.
Fill in the blank with the correct answer from the options given below
CUET (UG) - 2024
Current electricity
View Solution
Two parallel plate capacitors of capacitances 2
\(\mu F\)
and 3
\(\mu F\)
are joined in series and the combination is connected to a battery of V volts. The values of potential across the two capacitors
\(V_1\)
and
\(V_2\)
and energy stored in the two capacitors
\(U_1\)
and
\(U_2\)
respectively are related as_____
Fill in the blank with the correct answer from the options given below
CUET (UG) - 2024
Electrostatics
View Solution
Who devised the concept of Intelligence Quotient (IQ)?
CUET (UG) - 2024
Psychological attributes
View Solution
As per data collected in 2011, arrange the following Indian states in terms of child sex-ratio from lowest to highest:
(A) Punjab
(B) Haryana
(C) Tamil Nadu
(D) Sikkim
Choose the correct answer from the options given below:
CUET (UG) - 2024
Social Inequality and Exclusion
View Solution
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
View More Questions