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.
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.
Given two points A(0,0) and B(4,0), find the equation of the locus of points equidistant from A and B.
The locus of points equidistant from two given points A and B is (1) a straight line passing through A and B (2) the perpendicular bisector of AB (3) a circle with AB as diameter (4) a line parallel to AB
Which of the following best describes the locus of points equidistant from a fixed point and a fixed straight line? (1) A circle (2) A straight line (3) A parabola (4) An ellipse
Which of the following best describes the locus of points equidistant from two intersecting lines? (1) The angle bisectors of the lines (2) The lines themselves (3) The perpendicular bisector of the angle between the lines (4) A circle
Which of the following is NOT a possible locus in a plane? (1) Circle (2) Parabola (3) Square (4) Straight line
Fill in the blank: The locus of points at a fixed distance from a given straight line is two lines parallel to the given line, each at the fixed distance on either side. The fixed distance is called the _______.
Fill in the blank: The locus of points equidistant from the endpoints of a line segment is the _______ of the segment.
Fill in the blank: The locus of points equidistant from the sides of an angle is the _______ of the angle.
Fill in the blank: The locus of points equidistant from two fixed points is the _______ of the segment joining the two points.
True or False: The locus of points at a constant sum of distances from two fixed points is an ellipse.
True or False: The locus of points at a fixed distance from a given circle is always a circle.
True or False: The locus of points at a fixed distance from a given circle is another circle with the same center.
True or False: The locus of points at a fixed distance from a given point in space is a circle.
