Evaluate | cc x & x+1 x-1 & x | - Vidyadip

Question

Evaluate $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$

✓

Answer

b
We have

$\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|=x(x)-(x+1)(x-1)=x^{2}-\left(x^{2}-1\right)=x^{2}-x^{2}+1=1$

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 distinct real roots of the equation $|x||x+2|-5|x+1|-1=0 ......... $

Let $\mathrm{A}=\{\mathrm{n} \in[100,700] \cap \mathrm{N}: \mathrm{n}$ is neither a multiple of $3$ nor a multiple of 4$\}$. Then the number of elements in $\mathrm{A}$ is

If $\overrightarrow A = i + 2j + 3k,\,\,\,\overrightarrow B = - i + 2j + k$ and $\overrightarrow C = 3i + j,$ then the value of $t$ such that $\overrightarrow A + t\overrightarrow B $ is at right angle to vector $3i + 4j$ is

The series of positive multiples of $3$ is divided into sets : $\{3\},\{6,9,12\},\{15,18,21,24,27\}, \ldots$ Then the sum of the elements in the $11^{\text {th }}$ set is equal to $................$

The centres of two circles $C_1$ and $C_2$ each of unit radius are at a distance of $6$ units from each other. Let $P$ be the mid point of the line segment joining the centres of $C_1$ and $C_2$ and $C$ be a circle touching circles $C_1$ and $C_2$ externally. If a common tangent to $C_1$ and $C$ passing through $P$ is also a common tangent to $C_2$ and $C$, then the radius of the circle $C$ is

The mean of $10$ numbers

$7 \times 8,10 \times 10,13 \times 12,16 \times 14, \ldots .$ is ....... .

If ${a^x} = b,{b^y} = c,{c^z} = a,$ then value of $xyz$ is

Let the latus rectum of the hyperbola $\frac{x^2}{9}-\frac{y^2}{b^2}=1$ subtend an angle of $\frac{\pi}{3}$ at the centre of the hyperbola. If $b^2$ is equal to $\frac{l}{m}(1+\sqrt{ n }),$ where $l$ and m are co $-$ prime numbers, then $l^2+ m ^2+ n ^2$ is equal to $ .............$

The sum of ${1^3} + {2^3} + {3^3} + {4^3} + ..... + {15^3}$, is

$1\, + \,\frac{{{1^3}\, + \,{2^3}}}{{1 + 2}} + \frac{{{1^3}\, + \,{2^3} + {3^3}}}{{1 + 2 + 3}} + ...... + \frac{{{1^3}\, + \,{2^3} + {3^3} + ..... + {{15}^3}}}{{1 + 2 + 3 + ..... + 15}} - \frac{1}{2}\left( {1 + 2 + 3 + ....+15} \right)$ is equal to