By plotting the following points check whether they are collinear or not
(i) `(1,1), (2,2),(4,4)`
(ii) `(1,0), (-3,0), (0,0)`
(iii) `(2,-2), (0,0), (-3,4)`

Explanation

To determine whether the given points are collinear, we can follow these steps:

### Step 1: Plot the Points for Each Set

**(i)** For the points `(1,1)`, `(2,2)`, and `(4,4)`:
- Plot the point `(1,1)`: This is 1 unit right and 1 unit up from the origin.
- Plot the point `(2,2)`: This is 2 units right and 2 units up from the origin.
- Plot the point `(4,4)`: This is 4 units right and 4 units up from the origin.

**(ii)** For the points `(1,0)`, `(-3,0)`, and `(0,0)`:
- Plot the point `(1,0)`: This is 1 unit right from the origin (on the x-axis).
- Plot the point `(-3,0)`: This is 3 units left from the origin (on the x-axis).
- Plot the point `(0,0)`: This is at the origin.

**(iii)** For the points `(2,-2)`, `(0,0)`, and `(-3,4)`:
- Plot the point `(2,-2)`: This is 2 units right and 2 units down from the origin.
- Plot the point `(0,0)`: This is at the origin.
- Plot the point `(-3,4)`: This is 3 units left and 4 units up from the origin.

### Step 2: Check Collinearity by Drawing Lines

**(i)** After plotting the points `(1,1)`, `(2,2)`, and `(4,4)`, draw a line through them. If all points lie on the same straight line, they are collinear.
- **Conclusion**: The points `(1,1)`, `(2,2)`, and `(4,4)` are collinear.

**(ii)** After plotting the points `(1,0)`, `(-3,0)`, and `(0,0)`, draw a line through them. If all points lie on the same straight line, they are collinear.
- **Conclusion**: The points `(1,0)`, `(-3,0)`, and `(0,0)` are collinear.

**(iii)** After plotting the points `(2,-2)`, `(0,0)`, and `(-3,4)`, draw a line through them. If all points lie on the same straight line, they are collinear.
- **Conclusion**: The points `(2,-2)`, `(0,0)`, and `(-3,4)` are not collinear.

### Final Summary
- **Set (i)**: Collinear
- **Set (ii)**: Collinear
- **Set (iii)**: Not collinear

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