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Ordinate of a point is positive in...

Ordinate of a point is positive in

A

l and IV quadrants

B

1 quadrant only

C

I and II quadrants

D

1 and III quadrants

Text Solution

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The correct Answer is:
To determine in which quadrants the ordinate (y-coordinate) of a point is positive, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Coordinate System**: - The Cartesian coordinate system consists of two axes: the x-axis (horizontal) and the y-axis (vertical). The point where these axes intersect is called the origin (0,0). 2. **Identify the Quadrants**: - The coordinate plane is divided into four quadrants: - **1st Quadrant**: Both x and y coordinates are positive (x > 0, y > 0). - **2nd Quadrant**: x is negative and y is positive (x < 0, y > 0). - **3rd Quadrant**: Both x and y coordinates are negative (x < 0, y < 0). - **4th Quadrant**: x is positive and y is negative (x > 0, y < 0). 3. **Determine Where the Ordinate is Positive**: - The ordinate (y-coordinate) is considered positive when the point lies above the x-axis. - This occurs in the 1st and 2nd quadrants. 4. **Conclusion**: - Therefore, if the ordinate of a point is positive, it must be located in the **1st Quadrant** and **2nd Quadrant**. ### Final Answer: The ordinate of a point is positive in the **1st and 2nd Quadrants**. ---
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