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 10
A point moves such that it is always 3 units away from the line x = 1. Write the equations of its locus.
A point moves such that its distance from the point (2, -1) is always 4 units. Write the equation of its locus.
A point moves such that the sum of its distances from the points (0,0) and (6,0) is always 10. Write the equation of its locus.
Describe the locus of points that are a fixed distance from a given circle.
Describe the locus of points that are a fixed distance from a given straight line in three-dimensional space.
Describe the locus of points that are equidistant from two fixed parallel planes in three-dimensional space.
Describe the locus of points that are equidistant from two intersecting lines.
Describe the locus of the center of a circle of fixed radius that passes through a fixed point.
Explain what is meant by the term 'locus' in geometry.
Given two points A(0,0) and B(4,0), find the equation of the locus of points equidistant from A and B.
If a point moves such that its distance from the line y = 0 is always 5 units, what are the equations of its locus?
If a point moves such that its distance from the point (0,0) is always 7 units, what is the equation of its locus?
If a point moves such that its distance from the point (0,0) is always equal to its distance from the line x = 4, what is the equation of its locus?
If the locus of a point is a circle with center (2,3) and radius 5, write its equation.
What is the locus of all points in a plane that are at a fixed distance from a given point?
