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Q.

Complete the following statement.

Abscissa of a point is positive in _______.

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a

I and II quadrant

b

I quadrant only

c

I and IV quadrant

d

II quadrant only 

answer is B.

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Detailed Solution

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The abscissa is the distance of a point horizontally to the right or left of the origin (usually the point where the x and y axes intersect). When the abscissa is positive, it means the point is to the right of the origin. When it is negative, it means the point is to the left of the origin.

Now, to answer your original statement, "Abscissa of a point is positive in _______," the abscissa of a point is positive in two specific regions of the Cartesian coordinate system:

First Quadrant: This is the top-right quadrant of the coordinate plane. In this quadrant, both the abscissa (x-coordinate) and the ordinate (y-coordinate) of any point are positive.

Fourth Quadrant: This is the bottom-right quadrant of the coordinate plane. In this quadrant, the abscissa (x-coordinate) is positive, but the ordinate (y-coordinate) is negative.

In both of these quadrants, the abscissa is positive because the points are to the right of the origin, which is located at (0, 0) in the center of the coordinate system.
Therefore, abscissa is positive in first and fourth quadrants. 

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