If [ cc 1 & 1 -1 & 1 ] [ l x y ]= [ l 2 4 ], then the values of x… - Vidyadip

MCQ

If $\left[\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}2 \\ 4\end{array}\right]$, then the values of $x$ and $y$ respectively are

A
$-3,-1$
B
1,3
C
3,1
✓
$-1,3$

✓

Answer

Correct option: D.

$-1,3$

(D) $\left[\begin{array}{cc}1 & 1 \\ -1 & 1\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}2 \\ 4\end{array}\right]$
$\begin{array}{l}\Rightarrow x+y=2 \text { and }-x+y=4 \\ \Rightarrow x=-1, y=3\end{array}$

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

More "MCQ" from Matrics→Matrics — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

If $\vec{\text{a}},\vec{\text{b}},\vec{\text{c}}$ are non$-$coplanar vectors, then $\frac{\vec{\text{a}}.\big(\vec{\text{b}}\times\vec{\text{c}}\big)}{\big(\vec{\text{c}}\times\vec{\text{a}}\big).\vec{\text{b}}}+\frac{\vec{\text{b}}.\big(\vec{\text{a}}\times\vec{\text{c}}\big)}{\vec{\text{c}}.\big(\vec{\text{a}}\times\vec{\text{b}}\big)}$ is equal to:

The angle between the line $\bar{r}=(2 \hat{i}+3 \hat{j}+\hat{k})+\lambda(\hat{i}+2 \hat{j}-\hat{k})$ and the plane $\bar{r} \cdot(2 \hat{i}-\hat{j}+\hat{k})=4$ is

The acute angle between two lines whose direction ratios are given by $l+ m - n =0$ and $l^2+ m ^2- n ^2=0$ is

$\int_0^{10}\left(5-\sqrt{10 x-x^2}\right) d x=$

If $\begin{vmatrix}2\text{x}&5\\8&\text{x}\end{vmatrix}=\begin{vmatrix}6&-2\\7&3\end{vmatrix},$ then $x =$

The matrix $\text{A}=\begin{bmatrix}1&0&0\\0&2&0\\0&0&4\end{bmatrix}$ is:

Dual of the statement $(p \wedge q) \vee \neg q \equiv p \vee \neg q$ is

For any four points $O (0,0,0), P (1,2,1)$, $Q(2,3,0), R(0,1,-1)$, the angle between the planes $O P Q$ and $P Q R$ is

A biased coin with probabilty $p, 0 < p < 1$, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $\frac{2}{5},$ then $p$ equals:

If the lines represented by the equation $6 x^2+41 x y-7 y^2=0$ make angles $\alpha$ and $\beta$ with X-axis, then $\tan \alpha \cdot \tan \beta=$