If A = [a , ,b],B = [ - b - a] and C = [ l , , , ,a - a ], then the correct statement is

If A = [a , ,b],B = [ - b - a] and C = [ l , , , ,a - a ], then t…

MCQ

If $A = [a\,\,b],B = [ - b - a]$ and $C = \left[ \begin{array}{l}\,\,\,\,a\\ - a\end{array} \right]$, then the correct statement is

A
$A = - B$
B
$A + B = A - B$
✓
$AC = BC$
D
$CA = CB$

✓

Answer

Correct option: C.

$AC = BC$

$AC = [ab]\left[ \begin{array}{l}a\\ - a\end{array} \right] = [{a^2} - ab]$
$BC = [ - b - a]\left[ \begin{array}{l}a\\ - a\end{array} \right] = [{a^2} - ab]$
$\therefore AC = BC$.

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

Consider the system of linear equation $x+y+z=$ $4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15$, where $\lambda, \mu \in R$. Which one of the following statements is NOT correct?

→

If $\frac{\sin ^4 x}{2}+\frac{\cos ^4 x}{3}=\frac{1}{5},$ then

$(A)$ $\tan ^2 x=\frac{2}{3}$ $(B)$ $\frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{1}{125}$

$(C)$ $\tan ^2 x=\frac{1}{3}$ $(D)$ $\frac{\sin ^8 x}{8}+\frac{\cos ^8 x}{27}=\frac{2}{125}$

→

Let ${ }^{n} C_{r}$ denote the binomial coefficient of $x^{r}$ in the expansion of $(1+ x )^{ n }.$

If $\sum_{ k =0}^{10}\left(2^{2}+3 k \right){ }^{ n } C _{ k }=\alpha .3^{10}+\beta \cdot 2^{10}, \alpha, \beta \in R$ then $\alpha+\beta$ is equal to ....... .

→

The sum of $100$ terms of the series $.9 + .09 + .009.........$ will be

→

Let $\alpha$ and $\beta$ be the roots of the equation $px ^2+ qx -$ $r=0$, where $p \neq 0$. If $p, q$ and $r$ be the consecutive terms of a non$-$constant $G.P$ and $\frac{1}{\alpha}+\frac{1}{\beta}=\frac{3}{4}$, then the value of $(\alpha-\beta)^2$ is :

→

The locus of a point which divides the line segment joining the point $(0,-1)$ and a point on the parabola, $\mathrm{x}^{2}=4 \mathrm{y},$ internally in the ratio $1: 2,$ is

→

Which of the following is correct

→

Let $R$ be the relation in the set $N$ given by $R =\{(a,\, b)\,:\, a=b-2,\, b>6\} .$ Choose the correct answer.

→

If $f({x_1}) - f({x_2}) = f\left( {\frac{{{x_1} - {x_2}}}{{1 - {x_1}{x_2}}}} \right)$ for ${x_1},{x_2} \in [ - 1,\,1]$, then $f(x)$ is