In which quadrant or on which axis each of the given points lie? (i) abscissa is – 5 and ordinate is 3 (ii) (-8,0) (iii) (1,-7) (iv) ordinate is – 5 and abscissa is – 3 pls answer fast
Answers
What are quadrants ?
In a Cartesian plane ; when the x axis (also know as abscissa) and y axis (also known as ordinate ) intersect at the origin i.e. the midpoint ; form 4 sections. These sections formed are known as quadrants. There are 4 quadrants which are named anti-clock wise. They are :
- I quadrant - Both (x,y) are positive
- II quadrant - (-x , y) x is negative and y is positive
- III quadrant - (-x , -y) Both are negative
- IV quadrant - (x , -y) X is positive but y is negative.
Note that the value of x axis is mentioned first and then is y axis.
So , following the above information ; we will solve the given problem .
Answers along with explanation :
1. Abscissa is (-5) and ordinate is 3
=> II quadrant
We know that abscissa is the other name for x axis and ordinate is another name for y axis. The value of x axis is -5 and the value of y axis is 3 . Thus it lies in II quadrant.
2. (-8,0)
=> On -x axis
Here the value of the coordinates is (-x , 0) so it lies on the negative x axis.
3. (1,-7)
=> IV quadrant
Here the value of x is positive and y is negative hence lies in the IV quadrant.
4. Ordinate -5 and abscissa -3
=> III quadrant
As mentioned earlier ; ordinate and abscissa are synonymous to y axis and x axis respectively. Here both the values are in negative forms hence lie in the IV quadrant.
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