Question

find distance of point p(x,y) from origin

Answer 1

Ans.

The required distance is

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

Answer 2

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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