Question

What will be the correct option for the following statement?
Abscissa of a point is positive in
A. I and II quadrants
B. I and IV quadrants
C. I quadrant only
D. II quadrant only

Answer 1

Hint: In this question we will see all four quadrants and check the behaviour of a point in it.

Complete step-by-step answer:
In the cartesian plane there are four quadrants. In the quadrant system we take origin as a standard point because it has coordinates (0,0) and behaviour of abscissa and ordinate is determined by the help of origin. Now, abscissa of a point means the x – coordinate of a point. Now, in the I quadrant both the x and y coordinate are positive. Every point which is lying in the first quadrant has positive coordinates. Because the point on the x – axis is on the right side of the origin making abscissa positive.

Now, in the second quadrant abscissa is negative. In the second quadrant, point is on the left side of origin making abscissa negative. The ordinate however remains positive as it is above the origin.

In the third quadrant as the point is still on the left – hand side of origin, the abscissa is still negative. The ordinate however changes from positive to negative when it comes from the second quadrant to third quadrant.

In the fourth quadrant the point again comes in the right – hand side of the origin so, again abscissa becomes positive.

So, abscissa is positive in I and IV quadrants. So, the answer is option (B).

Note: In such types of questions there are a lot of theories involved and the answer is purely theoretical. You have to keep in mind the theory related to the question while solving these questions. Such questions comprise only the theory part and no solving part.