SOLUTION: Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5. a. x2 + y2 + 6x - 8y = 0 ​ b. x2 + y2 + 6x + 8y = 0

Algebra.Com
Question 1146433: Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5.
a. x2 + y2 + 6x - 8y = 0 ​
b. x2 + y2 + 6x + 8y = 0 ​ ​
​c. x2 + y2 - 6x - 8y = 0
d. x2 + y2 - 6x + 8y = 0

Found 2 solutions by richwmiller, KMST:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
duplicate
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
it has to be the equation of a circle.
For a circle of radius K=any positive number,
centered at (3,4), the equation would be
, which "simplifies" to

The answer is obviously
​c. x2 + y2 - 6x - 8y = 0,
unless they were tricking you,
and there is no positive number K such that is .
( is zero).

RELATED QUESTIONS

Find the equation of the locus of a point which moves so that its distance from the point (answered by richwmiller)
Find the equation of the locus of a point which moves so that its distance from the... (answered by richwmiller)
Derive the equation of the locus of a point P(x,y) which moves so that its distance from... (answered by josgarithmetic,ikleyn,greenestamps)
Please explain how you do this question: Derive the equation of the locus of a point... (answered by stanbon)
PLEASE HELP. A POINT MOVES SO THAT ITS DISTANCE FROM THE LINE {{{ x-16=0 }}} IS ALWAYS... (answered by josgarithmetic)
A point moves so that its distance from the point (2,-1) is equal to its distance from... (answered by ikleyn)
In ellipse situation, find the equation of the locus of a point which moves so that the... (answered by ikleyn)
a point moves so that the difference between its distance from (3,0) and (-3,0) is 4.... (answered by greenestamps)
P(x,y)is a variable point and A(2,2) is a fixed point. Find the equation of the locust of (answered by jim_thompson5910)