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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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ganeshie8Best ResponseYou've already chosen the best response.1
Lets call that point P (x, y)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
distance from (1, 3) to P(x, y) is always 5
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
you know the distance formula ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
Okay 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
 one year ago

Ron.mysteryBest ResponseYou've already chosen the best response.0
POINTS 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.
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
@virtus thats our locus equation.
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
can you tell... what shape it can be ?
 one year ago

virtusBest ResponseYou've already chosen the best response.1
THANK YOU SO MUCH GANESHIE8 ! =D
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.1
i dont think, from equation its shape is obvious... we need to know about circle to be able to visualize the shape. np :)
 one year ago
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