"Question 1 In which quadrant or on which axis do each of the points (-2,4), (3,-1), (-1,0), (1,2) and (-3,-5) lie? Verify your answer by locating them on the Cartesian plane.
Class 9 - Math - Coordinate Geometry Page 65"
Answers
If both( abscissa and ordinates) coordinates are positive , then point lies in I quadrant.
If abscissa is negative and ordinate is positive then point Lies in II quadrant .
If both coordinates are negative then point Lies in III quadrant.
If abscissa is positive and ordinate is negative then the point lies in IV quadrant.
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Solution:
The point (-2,4) lies in second quadrant because it's X co-ordinate is negative and Y co-ordinate is positive.
The point (3,-1) lies in IV quadrant because it's X co-ordinate is positive and Y co-ordinate is negative.
The point (-1,0) lies on negative x-axis because it's X co-ordinate is negative and y co-ordinate is zero.
The point (1,2) lies in first quadrant because it's both coordinates are positive.
The point (-3,5) lies in third quadrant because it's both coordinates are negative.
[ graph is on the attachment]
from the graph it can be verified that the points lie in the same quadrants as stated above..
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Hope this will help you...
firstly,draw two mutually perpendicular lines which divide the plane into four quadrants.
If both(abscissa and ordinates) coordinates are positive, then point lies in I quadrant.
If abscissa is negative and ordinate is positive then point Lies in Il quadrant.
If both coordinates are negative then point Lies in III quadrant.
If abscissa is positive and ordinate is negative then the point lies in IV quadrant.
Solution:
The point (-2,4) lies in second quadrant because it's X co-ordinate is negative and Y co-ordinate is positive.
The point (3,-1) lies in IV quadrant because it's X co-ordinate is positive and Y co ordinate is negative.
The point (-1,0) lies on negative x-axis because it's X co-ordinate is negative and y co-ordinate is zero.
The point (1,2) lies in first quadrant because it's both coordinates are positive.
The point (-3,5) lies in third quadrant because it's both coordinates are negative.
[ graph is on the attachment]
from the graph it can be verified that the points lie in the same quadrants as stated above..
