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.
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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 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.
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.
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.
Which of the following best describes the locus of points equidistant from two fixed points A and B in a plane?
(1) A straight line passing through A and B
(2) The perpendicular bisector of the segment AB
(3) A circle with AB as diameter
(4) The angle bisector of ∠AOB
Which of the following is NOT a possible locus in a plane?
(1) A straight line
(2) A circle
(3) A square
(4) A parabola
Which of the following is the locus of points equidistant from the lines x = 2 and x = -2?
(1) x = 0
(2) y = 0
(3) x = 2
(4) x = -2
Which of the following is the locus of points equidistant from the lines y = 2 and y = -2?
(1) y = 0
(2) x = 0
(3) y = 2
(4) y = -2
The locus of points at a fixed distance from a given straight line is two lines ________ to the given line.
The locus of points at a fixed distance r from a given point O in a plane is a ________.
The locus of points such that the difference of their distances from two fixed points is constant is a ________.
The locus of the center of a circle of fixed radius r that passes through a fixed point A is a ________ with center at A and radius r.
True or False: The locus of points equidistant from the lines y = x and y = -x is the y-axis.
True or False: The locus of points equidistant from two intersecting lines is the angle bisector of the angle formed by the lines.
True or False: The locus of points equidistant from two non-parallel lines is always a straight line.
True or False: The locus of points equidistant from two parallel lines is another line parallel to both and midway between them.
