Introduction to LOCI
The locus of a point equidistant from two parallel lines is
any line parallel to both the lines
a line parallel to both the lines and midway between them
the perpendicular bisector of any one of the parallel lines
any line perpendicular to both the lines
AB is a fixed line. State the locus of the point P so that AB2= AP2+ BP2
Circle with diameter AB
Circle with diameter 3AB
None of these
Circle with radius AB
A and B are two fixed points. What will be the locus of the point P such that ∠ APB=90∘
The locus of point P is the perpendicular bisector of line joining AB.
The locus of point P is the circumference of a circle with AB as the diameter.
The locus of point P is the circumference of a semi-circle with AB as the diameter.
The locus of P is any circle passing through the points A and B.
What is the locus of the centre of a cycle wheel?
Line diagonal to the ground
Straight line parallel to the ground
A set of points which satisfies some given conditions.
A set of random points.
None of these
A line joining two points.
The locus of a point which is equidistant from two given parallel lines is a line ___ to the given lines and it is the midway between them.
intersecting at 60 degrees
intersecting at 30 degrees
The locus of the point which moves in such a way that its distance from the line x=6 is always equal to 2 units is
the line x=4.
the line x=8.
lines x=4 and x=8.
The locus of the point which moves in such a way that its distance from the line y=−6 is always equal to 1 unit is
the line y=-4
the line y=6
the line y=-5 and the line y=-7
x - axis
The locus of mid-points of all parallel chords in a circle is
the diameter of the circle which is perpendicular to the given chords
any chord of the circle
any diameter of the circle
any chord of the circle which is perpendicular to the given chords
The locus of a point P with ∠ APB as 90∘ will be a circle if AB is the diameter.