Find the distance between `P(x_1,\ y_1)a n d\ Q(x_2, y_2)` when i. `P Q` is parallel to the y-axis ii. PQ is parallel to the x-axis.

Explanation

We have to find the distance between `P(x_1,\ y_1)a n d\ Q(x_2, y_2)`

(i) When PQ is parallel to y-axis
`impliesx_1 =x_2`

​Then distance between P and Q is ,

`= sqrt((x_2−x_1)^2+(y_ 2−y_1)^2)`

`= sqrt((y_2−y_1)^2)=∣y_2−y_1∣`

(ii) When PQ is parallel to x-axis,
`impliesy_1=y_2`

​Then distance between P and Q is ,

`=sqrt((x_2−x_1)^2+(y_2−y_1)^2)`

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