HELLO! ROHIT, I HOPE YOU ARE GOING GOOD. FEW DAYS BACK MY MATHS TEACHER STARTED A NEW CHAPTER COORDINATE GEOMETRY WHICH IS VERY INTERESTING AS COMPARED TO OTHER CHAPTERS.
HEY! SARA, WOW! SOUNDS INTERESTING. IF YOU'RE FREE CAN YOU PLEASE EXPLAIN ME PLOTTING OF COORDINATE POINTS IN A CARTESIAN PLANE IN DETAILS. AS YOU KNOW MATHS IS MY FAVOURITE SUBJECT.
YA SURE! I WILL EXPLAIN YOU, SEE YOU AT 4 AT MY HOUSE. BYEE
OKAY! GOOD BYE
A cartesian plane is a two-dimensional coordinate plane defined by two perpendicular lines such as x-axis and y-axis. The horizontalnumber lineis called x-axis and the vertical number line is called y-axis. The point of intersection of these two lines is called origin. The region of x-axis towards the right side of the origin is called positive x-axis and the region of x-axis towards the left side of the origin is called negative x-axis.
WHAT DO YOU MEAN BY CARTESIAN PLANE?/ WHAT DO YOU THINK A CARTESIAN PLANE IS?
HERE IS AN EXAMPLEQUES-Plot the coordinates (3, 5) and (5, -4) in the cartesian coordinate system.SOLN- STEP 1: Draw the coordinate axes, such as the x-axis and y-axis.Step 2: Choose the unit such that 1 centimetre represents one unit on both the x-axis and y-axis.
Step 3: The coordinate (3, 5) represents the distance from the origin to the positive x-axis is 3 units and the distance from the origin to the positive y-axis is 5 units. Now, mark these points on the coordinate plane, and name it as “P”.Step 4: The coordinate (5, -4) represents the distance from the origin to the positive x-axis is 5 units and the distance from the origin to the negative y-axis is 4 units. Mark the coordinate point in the plane and label it as “Q”.Step 5: Therefore, the point P (3, 5) lies in the first quadrant and the point Q (5, -4) lies in the fourth quadrant.