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The point whose abscissa and ordinate ha...

The point whose abscissa and ordinate have different signs will lie in

A

I and II quadrants

B

I and III quadrants

C

II and III quadrants

D

II and IV quadrant

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The correct Answer is:
To determine in which quadrant a point lies when its abscissa (x-coordinate) and ordinate (y-coordinate) have different signs, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Quadrants**: - The Cartesian plane is divided into four quadrants: - **1st Quadrant**: Both x and y 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 are negative (x < 0, y < 0). - **4th Quadrant**: x is positive and y is negative (x > 0, y < 0). 2. **Identifying Different Signs**: - We need to find points where the signs of the abscissa and ordinate are different. This means one must be positive and the other must be negative. 3. **Analyzing Each Quadrant**: - **1st Quadrant**: Both coordinates are positive (not applicable). - **2nd Quadrant**: x is negative and y is positive (different signs). - **3rd Quadrant**: Both coordinates are negative (not applicable). - **4th Quadrant**: x is positive and y is negative (different signs). 4. **Conclusion**: - The points with different signs for abscissa and ordinate will lie in the **2nd Quadrant** (x < 0, y > 0) and the **4th Quadrant** (x > 0, y < 0). ### Final Answer: The point whose abscissa and ordinate have different signs will lie in the **2nd and 4th Quadrants**. ---
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