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virtus
 3 years ago
find the equation of the locus of a point that moves so that it is always 5 units from (1,3). Describe the shape of this locus.
virtus
 3 years ago
find the equation of the locus of a point that moves so that it is always 5 units from (1,3). Describe the shape of this locus.

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ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1Lets call that point P (x, y)

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1distance from (1, 3) to P(x, y) is always 5

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1you know the distance formula ?

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1Okay good. distance between (1, 3) and P(x, y) : \(\sqrt{(x2x1)^2+(y2y1)^2}\) = 5 \(\sqrt{(x(1))^2+(y3)^2}\) = 5 \(\sqrt{(x+1)^2+(y3)^2}\) = 5 squating on both sides, \((x+1)^2+(y3)^2\) = 25

Ron.mystery
 3 years ago
Best ResponseYou've already chosen the best response.0POINTS TO REMEMBER: A locus or curve is the set of points and only those points satisfying a given condition or a well defined property. This is the locus definition in geometry. Example of locus is provided below: (1) A,B are two fixed points. Let a set of points equidistant from A and B. Locus is the perpendicular bisector of AB . Every point on the perpendicular bisector of AB obeys the condition. (2) The locus of a set of points which are at a constant distance from a fixed point,is a circle.

ganeshie8
 3 years ago
Best ResponseYou've already chosen the best response.1can you tell... what shape it can be ?

virtus
 3 years ago
Best ResponseYou've already chosen the best response.1THANK YOU SO MUCH GANESHIE8 ! =D
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