From choices given below, choose equation whose graphs are given in Fig. (i) and Fig. (ii) . For Fig

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4. Linear Equations in Two Variables

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From the choices given below, choose the equation whose graphs are given in Fig. $(i)$ and Fig. $(ii)$.

For Fig. $(i)$ For Fig. $(ii)$

$(a)$ $y=x$ $(a)$ $y=x+2$

$(b)$ $x+y=0$ $(b)$ $y=x-2$

$(c)$ $y=2 x$ $(c)$ $y=-x+2$

$(d)$ $2+3 y=7 x$ $(d)$ $x+2 y=6$

Option A

Option B

Option C

Option D

Solution

For Fig. $(i)$, the correct linear equation is $x+y=0$

$[\because \,\,(-\,1,\,1)$ $\Rightarrow $ $-1+1=0$ and $(1,\,-\,1)$ $ \Rightarrow $ $1+(-\,1)=0]$

For Fig. $(ii)$, the correct linear equation is, $y=-\,x+2$

$[\because \,\,(-\,1,\,3) $ $\Rightarrow $ $3=-(-\,1)+2 \Rightarrow 3=3$ and $(0,\,2) \Rightarrow 2=-(0)+2 \Rightarrow 2=2]$

Standard 9

Mathematics

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