Mixing
Describing Locus of Complex points
$begingroup$
Having trouble describing locus of complex points.
Not sure how to approach these types of questions. Do I just replace $|z|$ with $sqrt{x^2+y^2}$ ?
The question:
$|z+2| + |z-2| = 5$
complex-numbers
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
$endgroup$
add a comment |
$begingroup$
Having trouble describing locus of complex points.
Not sure how to approach these types of questions. Do I just replace $|z|$ with $sqrt{x^2+y^2}$ ?
The question:
$|z+2| + |z-2| = 5$
complex-numbers
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
$endgroup$
1
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57
add a comment |
$begingroup$
Having trouble describing locus of complex points.
Not sure how to approach these types of questions. Do I just replace $|z|$ with $sqrt{x^2+y^2}$ ?
The question:
$|z+2| + |z-2| = 5$
complex-numbers
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
$endgroup$
Having trouble describing locus of complex points.
Not sure how to approach these types of questions. Do I just replace $|z|$ with $sqrt{x^2+y^2}$ ?
The question:
$|z+2| + |z-2| = 5$
complex-numbers
complex-numbers
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
edited Jan 21 at 3:59
J. W. Tanner
2,8211217
2,8211217
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
asked Jan 21 at 3:14
MathstatsstudentMathstatsstudent
935
935
1
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57
add a comment |
1
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57
1
1
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57
add a comment |
1 Answer
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$begingroup$
An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
$endgroup$
add a comment |
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$begingroup$
An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
$endgroup$
add a comment |
$begingroup$
An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
$endgroup$
add a comment |
$begingroup$
An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
$endgroup$
An ellipse can be described as the locus of points the sum of whose distances from two points (the foci) is constant. Thus we have an ellipse with foci $(-2,0)$ and $(2,0)$.
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
answered Jan 21 at 4:00
Chris CusterChris Custer
14.1k3827
14.1k3827
add a comment |
add a comment |
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1
$begingroup$
Think of distance. You want to find point Z such that the distance from z to 2 plus the distance from z to -2 equals 5. I think this may be an ellipse with 2 and -2 as foci.
$endgroup$
– Joel Pereira
Jan 21 at 3:34
$begingroup$
Possible duplicate of math.stackexchange.com/q/1674177.
$endgroup$
– Chris Custer
Jan 21 at 3:57