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 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.
Given two fixed points A(0,0) and B(4,0), find the equation of the locus of points P such that PA = PB.
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?
The locus of points equidistant from two fixed points A and B is (1) a straight line (2) a circle (3) the perpendicular bisector of AB (4) the angle bisector of ∠AOB
Which of the following best describes the locus of points equidistant from two given points in a plane? (1) A circle (2) A straight line (3) A parabola (4) An ellipse
Which of the following is NOT a possible locus in a plane? (1) Circle (2) Parabola (3) Square (4) Straight line
Which of the following is the locus of points equidistant from the points (0,0) and (0,6)? (1) x = 3 (2) y = 3 (3) x = 0 (4) y = 0
Fill in the blank: The locus of points at a constant distance from a fixed circle is called a _________.
Fill in the blank: The locus of points equidistant from two fixed parallel lines is the line _________.
The locus of points at a fixed distance r from a given straight line is _________.
The locus of points equidistant from a fixed point and a fixed straight line is a _________.
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 equidistant from the sides of an angle is the angle bisector.
True or False: The locus of points equidistant from two intersecting lines is always a straight line.
True or False: The locus of points equidistant from two parallel lines is another line parallel to both.
