Q.

Signs of abscissa and ordinate of a point in the III Quadrant respectively are:


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a

+, +

b

–, –

c

–, +

d

+, – 

answer is B.

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Detailed Solution

Concept- We apply the quadrant diagram to determine the signs of a point's abscissa and coordinate using this knowledge. A quadrant diagram is a diagram of the cartesian plane that shows the point's x- and y-coordinates divided into four equal quadrants.
Question ImageA point's abscissa is its distance from the y-axis, measured perpendicularly. Abscissa is the x-coordinate.
A point's ordinate is its distance from the x-axis, measured perpendicularly. Ordinate is the name for the y-coordinate value.
We will determine the ordinate and abscissa signs of a point in the III quadrant.
The third quadrant is the quadrant that is located in the bottom left of the quadrant diagram, which shows us where each quadrant is located.
Let A represent a point on the cartesian plane.
Point A then has the coordinates (x, y).
According to the abscissa definition, the value of the abscissa is "x".
We can conclude that the value of ordinate is "y" from the definition of the term.
Let us take the point in the third quadrant. Illustrate a point in the third quadrant using a diagram.
Question ImageAbscissa is negative because point A's perpendicular distance from the x-axis is negative.
Ordinate is negative because the perpendicular distance of point A from the y-axis is negative.
As a result, the third quadrant's abscissa and ordinary sign is " –, –".
Hence, the correct answer is an option (2).
 
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