# Questions tagged [locus]

For problems that involve a specific set of locations of points. Locus is an important part of the coordinate geometry. In geometry, a locus (plural: loci) is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

520 questions
Filter by
Sorted by
Tagged with
53 views

### Locus of a point whose distance from two points is fixed (but not necessarily equal) in 3D geometry

Suppose there are two fixed points $S_1$ and $S_2$ Let the moving point be $P$ $PS_1$ and $PS_2$ are fixed but not necessarily equal. Now I think it is a circle. Obtained by rotation of vertex of ...
• 471
38 views

### Loci of $C$ such that $AC=2BC$, given that $A$ and $B$ are fixed points

I was solving this complex numbers problem: Find the loci of $|z+1|=2|z-1|$. I solved this problem by substituting $z=x+iy$ and after some manipulations the answer that I got is the circle with ...
• 6,782
24 views

### Converting a set of parametric coordinates to Cartesian coordinates

I have the parametric set of coodinates P = $(\dfrac{1+at^{2}+6at}{4},\dfrac{3at^{2}+2at+3}{4})$ , where $a = \dfrac{1}{16}$, after solving a problem involving the locus of a point. I wish to convert ...
• 331
Given the generic hyperbola $\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1$ which is centered at the origin, suppose we shift it and rotate it, such that one of its branches becomes tangent to the ...