Write whether the following statements are True or False? Justify your answer.
$(i)$ Point $(3,0)$ lies in the first quadrant.
$(ii)$ Points $(1,-1)$ and $(-1,1)$ lie in the same quadrant.
$(i)$ Point $(3,0)$ lies in the first quadrant.
$(ii)$ Points $(1,-1)$ and $(-1,1)$ lie in the same quadrant.
(N/A) $(i)$ The point $(3,0)$ has an abscissa (x-coordinate) of $3$ and an ordinate (y-coordinate) of $0$. If the ordinate of a point is $0$,the point lies on the x-axis,not in any quadrant.
Hence,the given statement is False.
$(ii)$ The point $(1,-1)$ has a positive x-coordinate and a negative y-coordinate,so it lies in the $IV$ quadrant. The point $(-1,1)$ has a negative x-coordinate and a positive y-coordinate,so it lies in the $II$ quadrant.
Since they lie in different quadrants,the given statement is False.
Hence,the given statement is False.
$(ii)$ The point $(1,-1)$ has a positive x-coordinate and a negative y-coordinate,so it lies in the $IV$ quadrant. The point $(-1,1)$ has a negative x-coordinate and a positive y-coordinate,so it lies in the $II$ quadrant.
Since they lie in different quadrants,the given statement is False.
Explore More
Similar Questions
Write whether the following statements are True or False. Justify your answer.
$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $(-\frac{1}{2}, 1)$.
$(ii)$ $A$ point lies on the $y$-axis at a distance of $2$ units from the $x$-axis. Its coordinates are $(2, 0)$.
$(i)$ The coordinates of a point whose ordinate is $-\frac{1}{2}$ and abscissa is $1$ are $(-\frac{1}{2}, 1)$.
$(ii)$ $A$ point lies on the $y$-axis at a distance of $2$ units from the $x$-axis. Its coordinates are $(2, 0)$.
Easy
View SolutionHow will you describe the position of a table lamp on your study table to another person?
Medium
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 SolutionThe ordinate of all points on the $x$-axis is:
Easy
View SolutionSigns of the abscissa and ordinate of a point in the second quadrant are respectively
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