>
Exams
>
Mathematics
>
Properties of Determinants
>
the value of vmatrix 1 2 3 4 3 6 2 7 9 vmatrix is
Question:
The value of
vmatrix 1 & 2 & 3
-4 & 3 & 6
2 & -7 & 9 vmatrix
is
Show Hint
Use row operations to simplify determinants.
BITSAT - 2010
BITSAT
Updated On:
Mar 18, 2026
213
-231
231
39
Show Solution
Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
Step 1:
Expand determinant using row/column operations.
Step 2:
Determinant evaluates to 39.
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
The solution of
$\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$
is
BITSAT - 2006
Mathematics
Properties of Inverse Trigonometric Functions
View Solution
If one root of the quadratic equation
$a x^{2}+b x+c=0$
is equal to
$n^{\text {th }}$
power of the other root, then the value of:
$a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$
is equal to
BITSAT - 2007
Mathematics
Quadratic Equations
View Solution
$(x -1) (x^2 - 5x + 7) < (x -,1),$
then
$x$
belongs to
BITSAT - 2007
Mathematics
Relations and functions
View Solution
An ellipse has
$OB$
as semi-minor axis,
$F$
and
$F$
are its foci and the
$\angle FBF$
, is a right angle. Then, the eccentricity of the ellipse is
BITSAT - 2013
Mathematics
Section Formula
View Solution
$2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$
is equal to-
BITSAT - 2017
Mathematics
Sequence and series
View Solution
View More Questions
Top BITSAT Properties of Determinants Questions
Let
$M$
be a
$3 \times 3$
non-singular matrix with
$det(M)=\alpha$
. If
$\left[M^{-1} adj(adj(M)]=K I\right.$
, then the value of
$K$
is
BITSAT - 2015
Mathematics
Properties of Determinants
View Solution
If
$x, y, z$
are all positive and are the
$p^{th}, q^{th}$
and
$r^{th}$
terms of a geometric progression respectively, then the value of the determinant $\begin{vmatrix} \log x & p & 1 \\ \log y & q & 1 \\ \log z & r & 1 \end{vmatrix} = 0 $ equals
BITSAT - 2009
Mathematics
Properties of Determinants
View Solution
The value of the determinant $\begin{vmatrix}265&240&219\\ 240&225&198\\ 219&198&181\end{vmatrix}$ is
BITSAT - 2012
Mathematics
Properties of Determinants
View Solution
If A=bmatrix2&0&0
2&2&0
2&2&2bmatrix, then det(adj A) is equal to:
BITSAT - 2011
Mathematics
Properties of Determinants
View Solution
If beginvmatrix p & q-y & r-z
p-x & q & r-z
p-x & q-y & r endvmatrix=0, then the value of (p)/(x)+(q)/(y)+(r)/(z) is
BITSAT - 2021
Mathematics
Properties of Determinants
View Solution
View More Questions
Top BITSAT Questions
Two point charges
$-q$
and
$+ q$
are located at point's
$(0, 0, - a)$
and,
$(0, 0, a)$
respectively. The electric potential at a point
$(0, 9, z)$
, where
$z > a$
is
BITSAT - 2009
potential energy
View Solution
Which of the following must be known in order to determine the power output of an automobile?
BITSAT - 2012
Power
View Solution
A large drop of oil (density
$0.8 \,g / cm ^{3}$
and viscosity
$\eta_{0}$
) floats up through a column of another liquid (density
$1.2\, g / cm ^{3}$
and viscosity
$\eta_{L}$
). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
BITSAT - 2012
Pressure
View Solution
A body is projected vertically upwards at time
$ t = 0$
and it is seen at a height
$H$
at time
$t_1$
and
$t_2$
second during its flight. The maximum height attained is (
$g$
is acceleration due to gravity)
BITSAT - 2009
Projectile motion
View Solution
At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
BITSAT - 2006
Projectile motion
View Solution
View More Questions