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  • Let BC is a fixed chord of a given circle with centre P. A is a variable point on it. Find the locus of the mid point of the line segment AC.  Opt

Let BC is a fixed chord of a given circle with centre P. A is a variable point on it. Find the locus of the mid point of the line segment AC.

 

Option: 1

Girdle with radius one -third of the given Circle
 


Option: 2

Circle with radius one-fouth of the given Circle
 


Option: 3

Circle with radius half of the given circle
 


Option: 4

 None of these


Answers (1)

best_answer

 Let mid points of PC and AB are Q and R respectively. 

Hence QR = PA/2 = half of the radius of given circle.

Hence locus of R is a circle with centre at mid point of line PC, 

and radius is half of the given circle.

 

Posted by

Rishi

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