Distance Formula


Coordinate Geometry I - Concepts
Class - 10th IMO Subjects
 
 
Concept Explanation
 

Distance Formula

If two points A and B have the same y-coordinate then A and B lie on a line parallel to the x-axis and the distance between A and B is the difference between their x-coordinates. See fig. Note that large AB=left | x_{2}-x_{1} right |

Similarly, if two points C and D have the same x-coordinate, then C and D lie on a straight line parallel to the y-axis and the distance between them is the difference between their y-coordinates. See fig. Note thatlarge CD=left | y_{2}-y_{1} right |

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Sample Questions
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Question : 1

Find the distance between large (costheta,-sintheta ) and large (-costheta,sintheta ).

Right Option : C
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Question : 2

The distance between the points A(1,1) and B,(2,2)

Right Option : D
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Question : 3

AOBD is a rectangle whose three vertices are vertices A(0,3), O(0,0) and B(5,0). The length of its diagonal is

Right Option : C
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Explanation
 
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