Question

find the distance of a point P (x,y) from the origin.

Answer 1

Given:

Point ( x, y )

Origin ( 0, 0 )

To find:

The distance.

Solution:

By formula

Distance between two points = √(( y2 - y1 )^2 + ( x2 - x1 )^2)

Origin ( 0, 0 ) ( x1, y1 )

Point ( x, y ) ( x2, y2 )

Distance = √(( y - 0 )^2 + ( x - 0 )^2

√(x)^2 + (y)^2  

Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.

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Answer 2

Solution is $\sqrt{x^{2} + y^{2} }$.

Given

Distance of a point P(x,y) from the origin = ?

Let the origin be T(0,0).

Distance formula is used to find the distance between two points.

By applying, distance formula distance the two points P(x,y) and T(0,0) can be determined as follows:

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

                          P (x,y)             T(0,0)

                         $x_1$ = x                $y_1$ = y

                         $x_2$ = 0                $y_2$ = 0

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

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

                                         = $\sqrt{(-x)^{2}+(-y)^{2} }$

                         Distance = $\sqrt{x^{2} + y^{2} }$.

To learn more...        

1. brainly.in/question/3097707      

2. brainly.in/question/3095404