Math, asked by ap143, 1 year ago

how to find the locus

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Answered by Anonymous
3
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How to find the locus??


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Locus:A locus is a set of points satisfying a certain condition.For example The locus of point that are 1 cm from the original is a circle of radius 1 cm centered on the origin,S once all points on the circle are 1 cm from the origin.

How to find locus ??

Ans:

For example x+y = 5
"Let's find equations to all the we covered .The first one want to find out the locus of the mount moving on a plane which is at a fixed distance from a given line.Let the given line be the x axis and P be the moving point..


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Answered by Anonymous
6
♠hey mate..!!

here is ur ans...



The Locus of a Moving Point




The following diagrams give the locus of a point that satisfy some conditions. Scroll down the page for more examples and solutions.




When a point moves in a plane according to some given conditions the path along which it moves is called a locus. (Plural of locus is loci.).

CONDITION 1 : 

A point P moves such that it is always m units from the point Q

Locus formed: A circle with center Q and radius m.


Example :

Construct the locus of a point P at a constant distance of 2 cm from a fixed point Q.

Solution:

Construct a circle with center Q and radius 2 cm.



CONDITION 2 : 

A point P moves such that it is equidistant form two fixed points X and Y

Locus formed: A perpendicular bisector of the line XY.



Example:

Construct the locus of point P moving equidistant from fixed points X and Y and XY = 6 cm.

Solution:

Construct a perpendicular bisector of the line XY.


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