The distance between point P (2m, 3m, 4m) with respect to origin is1.

1.	The distance between point P (2m, 3m, 4m) with respect to origin is1. √29m2. √13m3. 5m4. √20m
Answer» Correct Answer - Option 1 : √29m Concept: The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is: \(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}\) Calculation: Given: x₁ = 2m y₁ = 3m z₁= 4m x₂ = y₂ = z₂ = 0 Now using the distance formula as mentioned in the concept part: \(D=\sqrt{(2m-0)^2+(3m-0)^2+(4m-0)^2}\) \(D=\sqrt{4m^2 \ + \ 9m^2 \ + \ 16m^2}\) \(D=\sqrt{29}m\) Hence option (1) is the correct answer.

The distance between point P (2m, 3m, 4m) with respect to origin is1. √29m2. √13m3. 5m4. √20m

Answer» Correct Answer - Option 1 : √29m

Concept:

The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is:

\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}\)

Calculation:

Given:

x₁ = 2m

y₁ = 3m

z₁= 4m

x₂ = y₂ = z₂ = 0

Now using the distance formula as mentioned in the concept part:

\(D=\sqrt{(2m-0)^2+(3m-0)^2+(4m-0)^2}\)

\(D=\sqrt{4m^2 \ + \ 9m^2 \ + \ 16m^2}\)

\(D=\sqrt{29}m\)

Hence option (1) is the correct answer.