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Distance Between Two Points Formula - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Distance between two points is considered one the most difficult concept.
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12 Questions around this concept.
Solve by difficulty
A number of the lines, among the lines ; whose minimum distance is
from the point
is:
For a given triangle whose vertices are (-12,0),(0,12) & (-14,14), which of the following is true?
Concepts Covered - 1
Distance between two points
Distance between two points
Given, Point A (x1, y1) and B (x2, y2) are two points on the cartesian plane
Using Pythagoras Theorem
$
\begin{aligned}
& c^2=a^2+b^2 \\
& A B^2=a^2+b^2 \\
& A B^2=\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2 \\
& |A B|=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}
\end{aligned}
$
Note:
The distance of a point $\mathrm{A}(\mathrm{x}, \mathrm{y})$ from the origin $\mathrm{O}(0,0)$ is given by
$
|O A|=\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}
$
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