Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
virtus
Group Title
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.
 2 years ago
 2 years ago
virtus Group Title
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.
 2 years ago
 2 years ago

This Question is Closed

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

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

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
you know the distance formula ?
 2 years ago

ganeshie8 Group TitleBest 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
 2 years ago

Ron.mystery Group TitleBest 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.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
@virtus thats our locus equation.
 2 years ago

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

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

ganeshie8 Group TitleBest 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 :)
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.