Abscissa of a point is positive ina)quadrant I and IVb)quadrant I only...
Explanation:
To understand why the abscissa of a point is positive in quadrant I and IV, let's first understand what the abscissa is.
What is Abscissa?
Abscissa is a term used in coordinate geometry to refer to the x-coordinate of a point on the Cartesian plane. It represents the horizontal distance of a point from the y-axis.
Quadrants in the Cartesian Plane
The Cartesian plane is divided into four quadrants, namely quadrant I, II, III, and IV. Each quadrant is determined by the signs of the x and y coordinates of a point.
Quadrant I
Quadrant I is located in the upper right portion of the Cartesian plane. In this quadrant, both the x and y coordinates of a point are positive. As the abscissa represents the x-coordinate, it is positive in quadrant I.
Quadrant IV
Quadrant IV is located in the lower right portion of the Cartesian plane. In this quadrant, the x-coordinate is positive, but the y-coordinate is negative. Since the abscissa represents the x-coordinate, it is positive in quadrant IV.
Quadrant II and III
In quadrant II, the x-coordinate is negative, and in quadrant III, both the x and y coordinates are negative. Therefore, the abscissa is not positive in these quadrants.
Conclusion
Based on the above explanations, the correct answer is option A. The abscissa of a point is positive in quadrant I and IV, as these are the only quadrants where the x-coordinate is positive.