In this given question both option B and option D are correct we will understand this with an exapmple.
What is Co-ordinate geometry ?
Co-ordinate geometry is a 2D plane defined by x and y axis.Suppose in whole plane a point is given we can define the x and y co-ordiante values from it.Also we can find distance of a line segnment because the two end points of the line segment has 2 pair of x and y co-ordiante values. the initial point can be defined by (x₁ , y₁ ) and the end point can be defined by (x₂ , y₂) and the distance or the lenght of the line can be obtained by
under root of [(x₂-x₁)² +( y₂ - y₁)²]
Suppose a line has (x₁ , y₁ ) = ( 1, 2 ) and (x₂ , y₂) = ( 4, 7 )
by the given formula
Distance = under root of [(x₂-x₁)² +( y₂ - y₁)²]
Distance = under root of [(4 - 1)² +( 7 - 2 )²]
Distance = under root of [3]² + [5]²
Distance = under root of 9 + 25 = 34 = [tex]\sqrt{34}[/tex]
This is for option A in option D we ca see it has modulus which takes the mod values always positive here lenght or the distance of a line can not be negetive so we can simply remove the modulus.
learn more about Lines in space here :
https://brainly.com/question/8283882
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