Question

The distance between two points p(x1, y1) and q(x2,y2) is given by

Answer 1

Answer:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

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Step-by-step explanation:

Answer 2

Given : The coordinates of points p and q are, (x1,y1) and (x2,y2)

To find : The distance between the two points.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the distance between the two points)

Here, we will be using general formula of coordinate geometry.

So, distance between the points p and q, will be :

$= \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \: \: units$

(This will be considered as the final result of the given mathematical problem.)

Hence, the distance between two points p(x1, y1) and q(x2,y2) is given by $\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \: \: units$