Question

The distance from o(0,0) to the point p (2,1) by using distance formulae​

Answer 1

Refer to the attachment
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Answer 2

The required distance between the points is √5 units.
Given:

O=(0,0)

P=(2, 1)

To find:

The distance between O and P

Solution:

The required distance can be calculated by using the following formula-

The given coordinates are as follows-

O=(x1, y1)=(0, 0)

P=(x2, y2)=(2, 1)

The required distance=$\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Using the values,

=$\sqrt{(2-0)^{2} +(1-0)^{2} }$

=$\sqrt{2^{2} +1^{2} }$

=$\sqrt{(4+1)}$

=√5

So, the distance between O and P is √5 units.

Therefore, the required distance between the points is √5 units.