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आकृति में, $LM$ एक रेखा है जो $y-$ अक्ष के समांतर है तथा उससे $3$ मात्रक की दूरी पर है।
$(i)$ बिंदुओं $P , R$ और $Q$ के निर्देशांक क्या हैं ?
$(ii)$ बिंदुओं $L$ और $M$ के भुजों में क्या अंतर है ?
Solution
$(i)$ Clearly, the distance of $P$ from $y$ -axis is 3 units and that of from $x$ -axis is $2$ units. since $P$ lies in the first quadrant, so its coordinate are $(3,2)$ Point $R$ lies on $x$ – axis and its distance from $y$ and $x$ -axes are $3$ and $0$ units respectively.
So, its coordinates are $(3,0)$ Clearly, point $Q$ lies in the fourth quadrant. The distance of $Q$ from $y$ -axis is $3$ units and from $x$ -axis is $1$ unit.
So, the coordinates of $Q(3,-1)$
$(ii)$ From the given figure (graph), we find that the points $L$ and $M$ lie on the same straight line. So, $L$ and $M$ are collinear.
Hence, the difference between the abscissa of the points $L$ and $M$ is $0 .$
