The locus of the centre of a circle rolling in a plane is—
A. circle

B. curve

C. line parallel to plane

D. line perpendicular to plane

Write the locus of the end of the pendulum of the clock.

If two medians of a triangle are equal then the triangle will be—

If AB and CD are two non-parallel lines then the locus of the point P equidistant from these will be—

The locus of the centre of a circle rolling in a plane is—

The point equidistant from the vertices of a triangle is called

A triangle whose orthocentre is a vertex of the triangle is called—

The centroid of a triangle is

Write true or false out of the following statements and give the justification of your answer.

(i) The set of points situated at equal distances from a line is a line.

(ii) A circle is the locus of those points which lie at a fixed distance from a given point.

(iii) Three given points will be collinear when they are not the members of the set of points of a line.

(iv) The locus of points equidistant from two lines will be a line parallel to both the lines.

(v) The locus of point equidistant from the given points is the perpendicular bisector of the line joining both the points.

Prove that the locus of the centres of circles passing through points A and B is the perpendicular bisector of line segment AB.

The mid-points of the sides BC, CA and AB of a triangle ABC are respectively D, E and F. Then prove that EF bisects AD.