Mathematics
The locus of a point which moves in a plane in such a way that its distance from a fixed point is always constant, is known as :
a square
an equilateral triangle
a circle
a parallelogram
Locus
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Answer
The locus of a point that moves in a plane such that its distance from a fixed point is always constant, is known as a circle.
The fixed point is the center of the circle, and the constant distance is the radius of the circle.
Hence, option 3 is the correct option.
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Related Questions
Use a ruler and a pair of compasses to construct ΔABC in which BC = 4.2 cm, ∠ABC = 60° and AB = 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ABC of ΔABC.
Using ruler and compasses construct
(i) a triangle ABC in which AB = 5.5 cm, BC = 3.4 cm and CA = 4.9 cm.
(ii) the locus of points equidistant from A and C.
(iii) a circle touching AB at A and passing through C.
The locus of a point which is equidistant from two given fixed points, is the of the line segment joining the given fixed points.
median
angle bisector
altitude
perpendicular bisector
The locus of a point which is equidistant from two intersecting lines is the formed by the given lines.
pair of lines bisecting the angles
pair of parallel lines
pair of perpendicular lines
none of these