Name: Equality of Ordered Pairs
Uploaded: 2019-07-19
Duration: 2 min 45 s
Description: What are the factors that should be taken care of to check equality of two ordered pairs? How to analyse the equal pair? Watch this video for more information.

Question

Plot points

P (- 3,4)

and

Q (1,1)

on a graph paper. What is the distance of point

P

and

Q

from

x - a x i s

? Find the vertical distance between

P

and

Q

.

Accepted Answer

The perpendicular distance of the point from the $x$ -axis is the absolute value of the $y$ -coordinate of the point and the perpendicular distance of the point from $y$ -axis is the absolute value of the $x$ -coordinate of the point.

The point $P (- 3, 4)$ is in the $I I$ quadrant. The sign of the $x$ -coordinate is negative and the sign of the $y$ -coordinate is positive and it is at a distance of $4 units$ from the $x$ -axis and $3 units$ from the $y$ -axis.

The point $Q (1, 1)$ is in the $I$ quadrant. The sign of both the coordinates is positive and it is at a distance of $1 unit$ from both the axes.

The distance of $P$ from the $x$ -axis is $4 u n i ts$ ----(i)

The distance of $Q$ from the $x$ axis is $1 u n i t$ -----(ii)

The vertical distance between $P$ and $Q$ is the difference between (i) and (ii) $= 4 - 1 = 3$ units.

Therefore, the required distance of point $P$ and $Q$ from $x - a x i s$ are $4$ and $1$ units, respectively and the vertical distance between $P$ and $Q$ is $3$ units.

Plot points $P (- 3,4)$ and $Q (1,1)$ on a graph paper. What is the distance of point $P$ and $Q$ from $x - a x i s$ ? Find the vertical distance between $P$ and $Q$ .

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

Plot points P(-3,4) and Q(1,1) on a graph paper. What is the distance of point P and Q from x-axis? Find the vertical distance between P and Q.

Important Questions on Coordinate Geometry

Learn and Prepare for any exam you want !

Plot points $P (- 3,4)$ and $Q (1,1)$ on a graph paper. What is the distance of point $P$ and $Q$ from $x - a x i s$ ? Find the vertical distance between $P$ and $Q$ .