Write whether the following statements are True or False. Justify your answer.
$(i)$ Point $(0, -2)$ lies on the $y$-axis.
$(ii)$ The perpendicular distance of the point $(4, 3)$ from the $x$-axis is $4$.
$(i)$ Point $(0, -2)$ lies on the $y$-axis.
$(ii)$ The perpendicular distance of the point $(4, 3)$ from the $x$-axis is $4$.
(A) $(i)$ True. $A$ point on the $y$-axis has an $x$-coordinate of $0$. Since the given point is $(0, -2)$,it lies on the $y$-axis.
$(ii)$ False. The perpendicular distance of a point $(x, y)$ from the $x$-axis is given by the absolute value of its $y$-coordinate (the ordinate). For the point $(4, 3)$,the ordinate is $3$. Therefore,the perpendicular distance from the $x$-axis is $3$,not $4$.
$(ii)$ False. The perpendicular distance of a point $(x, y)$ from the $x$-axis is given by the absolute value of its $y$-coordinate (the ordinate). For the point $(4, 3)$,the ordinate is $3$. Therefore,the perpendicular distance from the $x$-axis is $3$,not $4$.
Explore More
Similar Questions
If $a=5, b=3, c=-8$ and $d=-5$,then in which quadrant does the point $(a+c, b+d)$ lie?
Easy
View SolutionWhich axis passes through the point $\left(7 \frac{3}{4}, 0\right)?$
Easy
View SolutionFind the coordinates of the point:
$(i)$ which lies on both $x$ and $y$ axes.
$(ii)$ whose ordinate is $-4$ and which lies on the $y$-axis.
$(iii)$ whose abscissa is $5$ and which lies on the $x$-axis.
$(i)$ which lies on both $x$ and $y$ axes.
$(ii)$ whose ordinate is $-4$ and which lies on the $y$-axis.
$(iii)$ whose abscissa is $5$ and which lies on the $x$-axis.
Easy
View SolutionWithout plotting the points,indicate the quadrant in which they will lie,if:
$(i)$ abscissa is $-5$ and ordinate is $3$
$(ii)$ ordinate is $5$ and abscissa is $3$
$(i)$ abscissa is $-5$ and ordinate is $3$
$(ii)$ ordinate is $5$ and abscissa is $3$
Easy
View SolutionIf $a=2, b=-3, c=-2$ and $d=-5,$ then the point $(ab, cd)$ is in the ......... quadrant.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo