3. Coordinate Geometry
medium

See Fig. and complete the following statements :

$(i)$ The abscissa and the ordinate of the point $B$ are ......... and ......... respectively. Hence, the coordinates of $B$ are (......... , .........)

$(ii)$ The $x$ -coordinate and the $y$ -coordinate of the point $M$ are ......... and ......... respectively. Hence, the coordinates of $M$ are (......... , .........)

$(iii)$ The $x$ -coordinate and the $y$ -coordinate of the point $L$ are  ......... and ......... respectively. Hence, the coordinates of $L$ are (......... , .........)

$(iv)$ The $x$ -coordinate and the $y$ -coordinate of the point $S$ are  ......... and ......... respectively. Hence, the coordinates of $S$ are (......... , .........)

Option A
Option B
Option C
Option D

Solution

$(i)$ Since the distance of the point $B$ from the $y$ – axis is $4$ units, the $x$ – coordinate or abscissa of the point $B$ is $4$. The distance of the point $B$ from the $x$ – axis is $3$ units ; therefore, the $y$ – coordinate, i.e., the ordinate, of the point $B$ is $3$. Hence, the coordinates of the point $B$ are $(4,\, 3)$.

As in $(i)$ above :

$(ii)$ The $x$ – coordinate and the $y$ – coordinate of the point $M$ are $-3$ and $4$, respectively. Hence, the coordinates of the point $M$ are $(-3,\, 4).$

$(iii)$ The $x$ – coordinate and the $y$ – coordinate of the point $L $ are $-5$ and $- 4$, respectively. Hence, the coordinates of the point L are $(-5,\, – 4)$.

$(iv)$ The $x$ – coordinate and the $y$ – coordinate of the point S are $3$ and $- 4$, respectively. Hence, the coordinates of the point $S$ are $(3,\, – 4)$.

Standard 9
Mathematics

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