In which quadrant do the given points lie.
v) `(10,100)`

Answer

To determine in which quadrant the point `(10, 100)` lies, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Coordinates**: The given point is `(10, 100)`. Here, `10` is the x-coordinate and `100` is the y-coordinate.

2. **Determine the Signs of the Coordinates**:
- The x-coordinate is `10`, which is **positive**.
- The y-coordinate is `100`, which is also **positive**.

3. **Recall the Quadrant Definitions**:
- **First Quadrant**: Both x and y coordinates are positive (x > 0, y > 0).
- **Second Quadrant**: x is negative and y is positive (x < 0, y > 0).
- **Third Quadrant**: Both x and y coordinates are negative (x < 0, y < 0).
- **Fourth Quadrant**: x is positive and y is negative (x > 0, y < 0).

4. **Match the Signs to the Quadrants**:
- Since both the x-coordinate and y-coordinate of the point `(10, 100)` are positive, it matches the criteria for the **First Quadrant**.

5. **Conclusion**: Therefore, the point `(10, 100)` lies in the **First Quadrant**.