Question

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

Answer 1

P ≡ ( x , y )
Now let the point of origin be named as 'O'.
O ≡ ( 0,0) since it's the point of origin.

Now, By Distance Formula ::
$OP = \sqrt{(x-0)^{2}+ (y-0)^{2} }$
$OP = \sqrt{ x^{2} + y^{2} }$

∴ The distance of point P ( x,y ) from the point of origin is $\sqrt{ x^{2} + y^{2} }$ units.

Hope this helps you !!
# Dhruvsh

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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