Question

If the point (x, y) is in Quadrant I, which of the following must be true?

Answer 1

Answer:

The coordinates

Step-by-step explanation

Answer 2

If the point (x, y) is in Quadrant-I, which of the following must be true?

(a) x>0 and y<0

(b) x>0 and y>0

(c) x<0 and y>0

(d) x<0 and y<0

Option(b): If the point (x, y) is in Quadrant-I, then x>0 and y>0 must be true.

Given:

The point (x, y) is in Quadrant-I

To find:

The correct option for the given condition.

Solution:

Quadrants:

• Quadrants are the regions that form when two coordinate axes of the plane intersect with each other at an angle of 90 degrees.
• The intersection of these two axes is known as a point of reference.

Types of quadrants:

First Quadrant

• The first quadrant is lies at the upper right-hand corner of the plane.
• The values of the x and y coordinates in this plane are positive in this quadrant.
• Any geometric angle here lies between 0 degrees to 90 degrees.

Second Quadrant

• The second quadrant is located at the left-hand top side region on the cartesian plane.
• The value of the x-coordinate becomes negative, whereas the value of the y-coordinate remains positive.
• Any geometric angle here lies between 90 degrees to 180 degrees.

Third Quadrant

• The third quadrant lies directly below the second quadrant.
• In this quadrant, the values of both the x-coordinate and the y-coordinate are negative.
• Any geometric angle here lies between 180 degrees to 270 degrees.

Fourth Quadrant

• The fourth quadrant lies in the bottom right corner.
• In this quadrant, the value of the x-coordinate is positive whereas the value of the y-coordinate becomes negative.
• Any angle of this quadrant lies between 270 degrees to 360 degrees.

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