In which quadrant do the given points lie.
iv) `(-50,-20)`

Answer

To determine in which quadrant the point \((-50, -20)\) lies, we can follow these steps:

### Step 1: Identify the coordinates
The given point is \((-50, -20)\). Here, \(-50\) is the x-coordinate and \(-20\) is the y-coordinate.

### Step 2: Determine the signs of the coordinates
- The x-coordinate is \(-50\), which is negative.
- The y-coordinate is \(-20\), which is also negative.

### Step 3: Analyze the signs
In the Cartesian coordinate system:
- The **1st quadrant** has both coordinates positive \((+,+)\).
- The **2nd quadrant** has a negative x-coordinate and a positive y-coordinate \((-,+)\).
- The **3rd quadrant** has both coordinates negative \((-,-)\).
- The **4th quadrant** has a positive x-coordinate and a negative y-coordinate \((+,-)\).

### Step 4: Conclusion
Since both the x-coordinate and the y-coordinate of the point \((-50, -20)\) are negative, this point lies in the **3rd quadrant**.

### Final Answer
The point \((-50, -20)\) lies in the **3rd quadrant**.

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