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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.

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QuestionMEDIUM

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:

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For a given triangle whose vertices are (-12,0),(0,12) & (-14,14), which of the following is true?

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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}

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Distance between two points

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Area of Triangle in Coordinate Geometry
Locus
Transformations of Axes

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Reference Books

Distance between two points

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

Page No. : 1.4

Line : 58

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