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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

• Distance between two points is considered one the most difficult concept.

• 13 Questions around this concept.

## Solve by difficulty

A number of the lines, among the lines $\mathrm{2 x+y+4+k(x-2 y-3)=0}$; whose minimum distance is $\mathrm{\sqrt{10}}$ from the point $\mathrm{(2,-3)}$ 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

$c^2=a^2+b^2$

$AB^2=a^2+b^2$

$AB^2={(x_2-x_1)^2+(y_2-y_1)^2}$

$|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Note:

The distance of a point A (x, y) from the  origin O (0, 0) is given by

$|OA|=\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}$

## Study it with Videos

Distance between two points

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## Books

### Reference Books

#### Distance between two points

Mathematics for Joint Entrance Examination JEE (Advanced) : Coordinate Geometry

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