| , * 20 c x&4& y + z &4& z + x &4& x + y , | = - Vidyadip

Question

$\left| {\,\begin{array}{*{20}{c}}x&4&{y + z}\\y&4&{z + x}\\z&4&{x + y}\end{array}\,} \right| = $

✓

Answer

d
(d) Apply ${C_1} \to {C_1} + {C_3}$ and take $x + y + z$ common from ${C_1}$ and $4 $ from ${C_2}$ to make first two columns identical.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of points, where the function $f: R \rightarrow R , f ( x )=| x -1| \cos | x -2| \sin | x -1|+$ $(x-3)\left|x^{2}-5 x+4\right|$, is NOT differentiable, is.

Let for the $9^{\text {th }}$ term in the binomial expansion of $(3+6 x)^{n}$, in the increasing powers of $6 x$, to be the greatest for $x=\frac{3}{2}$, the least value of $n$ is $n_{0}$. If $k$ is the ratio of the coefficient of $x ^{6}$ to the coefficient of $x ^{3}$, then $k + n _{0}$ is equal to.

If $|\vec{a}|=2,|\vec{b}|=5$ and $|\vec{a} \times \vec{b}|=8$, then $|\vec{a} \cdot \vec{b}|$ is equal to :

A person $X$ is running around a circular track completing one round every $40 s$. Another person $Y$ running in the opposite direction meets $X$ every $15 s$. The time, expressed in seconds, taken by $Y$ to complete one round is

The number of words which can be made out of the letters of the word $MOBILE $when consonants always occupy odd places is

If $f (1) = 1, f ' (1) = 3$ , then the derivative of $f\left( {f\left( {f\left( x \right)} \right)} \right) + \left( {f{{\left( x \right)}^2}} \right)$ at $x = 1$ is

If $|a|\,\, = 3,\,\,\,|b\,\,|\,\, = 4$ and the angle between $ a$ and $b$ be ${120^o}$, then $|4a + 3b|\,\, = $

Let $A :\{1,2,3,4,5,6,7\}$. Define $B =\{ T \subseteq A$ : either $1 \notin T$ or $2 \in T \}$ and $C = \{ T \subseteq A : T$ the sum of all the elements of $T$ is a prime number $\}$. Then the number of elements in the set $B \cup C$ is $\dots\dots$

The number of integral solutions $x$ of $\log _{\left(x+\frac{7}{2}\right)}\left(\frac{x-7}{2 x-3}\right)^2 \geq 0$ is

The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to