subject

Loci

Math ⇒ Geometry

Loci starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Loci. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
A point moves such that its distance from the point (0,0) is twice its distance from the line x = 3. Find the equation of its locus.
A point moves such that its distance from the point (0,4) is equal to its distance from the x-axis. Find the equation of its locus.
A point moves such that its sum of distances from two fixed points F₁ and F₂ is constant. What is the locus of the point?
Describe the locus of points in a plane that are at a distance less than 5 units from a fixed point P.
Explain the difference between the locus of points equidistant from two points and the locus of points equidistant from two lines.
Explain why the locus of points equidistant from two intersecting lines forms two lines.
Find the equation of the locus of a point which is equidistant from the points (1,2) and (5,2).
Find the locus of a point which moves so that its distance from the x-axis is always 4 units.
Given two fixed points A(2,3) and B(8,3), find the equation of the locus of points equidistant from A and B.
If a point moves such that its distance from the origin is always less than or equal to 6, what is the locus?
If a point moves such that its distance from the point (0,0) is always 7, write the equation of its locus.
If a point moves such that its distance from the point (0,0) is equal to its distance from the line y = 4, find the equation of its locus.
If a point moves such that its distance from the point (2,0) is equal to its distance from the y-axis, find the equation of its locus.
If a point P(x, y) moves such that its distance from the line y = 3 is always 2 units, write the equations representing its locus.
If the locus of a point is defined as the set of all points equidistant from a fixed point and a fixed straight line, what is the locus called?
State the locus of the center of a circle of radius 3 that touches the x-axis.