recategorized by
491 views

2 Answers

1 votes
1 votes
Answer: $B.$ $2$

$x+y=1$. when$ x>0 $ and$ y>0$

$-x+y=1$ when $x<0$ and $y>40$

$-x-y=1$ when both $x$ and $y$ are $<0$

$x-y=1$ when $x>0$ and $y<0$

Now, on plotting these equations,

The obtained coordinates would be:

$(1,0) (0,1) (-1,0) (0,-1)$

On joining these co-ordinates, a square of side $\sqrt2$ units would be obtained.

Therefore, area enclosed $= $ Area of square $=(\sqrt2)^2 = 2$ units

Therefore, option $B$ is the right answer.

Related questions

3 votes
3 votes
1 answer
1
Arjun asked Sep 23, 2019
798 views
Let $a_n=\bigg( 1 – \frac{1}{\sqrt{2}} \bigg) \cdots \bigg( 1 – \frac{1}{\sqrt{n+1}} \bigg), \: n \geq 1$. Then $\underset{n \to \infty}{\lim} a_n$equals $1$does not...
4 votes
4 votes
4 answers
2
Arjun asked Sep 23, 2019
1,470 views
$\underset{x \to \infty}{\lim} \left( \frac{3x-1}{3x+1} \right) ^{4x}$ equals$1$$0$$e^{-8/3}$$e^{4/9}$
3 votes
3 votes
4 answers
3
Arjun asked Sep 23, 2019
1,158 views
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to$\infty$$0$$\log_e 2$$1$
2 votes
2 votes
2 answers
4
Arjun asked Sep 23, 2019
507 views
If $f(x)$ is a real valued function such that $2f(x)+3f(-x)=15-4x$, for every $x \in \mathbb{R}$, then $f(2)$ is$-15$$22$$11$$0$