Straight lines|LOCUS concept#!#LOCUS problems

Pair of straight lines | Concept of Homogenisation

Concept OF Locus

The locus of the centre of a circle which cuts a given circle orthogonally and also touches a given straight line is (a) circle (c) parabola (b) line (d) ellipse

A point moves so that the sum of the squares of its distances from two intersecting straight lines is constant.Prove that its locus is an ellipse.

The locus of the point at which two given unequal circles subtend equal angles is: (A) a straight line(B) a circle (C) a parabola (D) an ellipse

A circle touches a given straight line and cuts off a constant length 2d from another straight line perpendicular to the first straight line. The locus of the centre of the circle, is

Locus of a point which is equidistant from the point (3,4) and (5,-2) is a straight line whose x -intercept is

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is a square (b) a circle a straight line (d) two intersecting lines

A straight line is drawn from a fixed point O meeting a fixed straight line in P . A point Q is taken on the line OP such that OP.OQ is constant. Show that the locus of Q is a circle.