Question

Find the distance between the points O (0,0) and P(-3, 4).​

Answer 1

Answer:

We have distance formula to find distance between two points whose coordinates are

(x1,y1)and(x2,y2)

Given by,

Distance between points =

$\sqrt{{(x_2-x_1)}^{2}+{(y_2-y_1)}^{2}}$

Here two given points are O(0,0) and P(- 3, 4).

Applying distance formula we get,

Distance AO is

$\sqrt{ {( - 3 - 0)}^{2} + {(4 - 0)}^{2} } \\ \\ = \sqrt{ {( - 3)}^{2} + {4}^{2} } \\ \\ = \sqrt{9 + 16} \\ \\ = \sqrt{25} \\ \\ =5units$

So,

distance between two given points is 5 units .

Answer 2

Answer:

Distance is

$\sqrt{ {( - 3 - 0)}^{2} + {(4 - 0)}^{2} } \\ = \sqrt{ {( - 3)}^{2} + {4}^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ =5units$