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 11
A point moves such that its distance from the point (0,0) is always 2 units more than its distance from the point (4,0). Write the equation of its locus.
A point moves such that its distance from the x-axis is always equal to its distance from the y-axis. What is the locus?
A point moves such that the sum of the squares of its distances from two perpendicular axes is constant. What is the locus?
A point P moves such that it is always 3 units away from the line y = 2. Write the equations of its locus.
A point P moves such that it is always 4 units from the point (2,3). Write the equation of its locus.
Describe the locus of the center of a circle that passes through two fixed points A and B.
Explain the locus of the midpoint of a segment of fixed length whose one end moves along the x-axis and the other along the y-axis.
Explain why the locus of points equidistant from two given points is a straight line.
Find the equation of the locus of a point which moves so that its distance from (0,0) is 5 units.
Given two fixed points A(0,0) and B(4,0), find the equation of the locus of points P such that PA = PB.
Given two intersecting lines, what is the locus of points equidistant from both lines?
If a point moves such that its distance from point A is always twice its distance from point B, what is the locus of the point?
If a point moves such that its distance from the point (0,0) is equal to its distance from the line x = 4, what is 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, what is the equation of its locus?
If a point moves such that the difference of its distances from two fixed points is constant, what is the locus?
If a point moves such that the sum of its distances from two fixed points is constant, what is the locus?
State the locus of the center of a circle of fixed radius r that touches a given straight line.
What is the locus of all points in a plane that are at a fixed distance from a given point?
A point moves such that its distance from the line y = x is always twice its distance from the line y = -x. Find the equation of its locus.
A point moves such that its distance from the point (a,0) is equal to its distance from the line x = -a. Write the equation of its locus and identify the type of curve.