A & B are two fixed points. The vertex C of △ABC moves such that cotA+cotB= constant. The locus of C is a straight line

A and B are fixed points such that AB=2a. The vertex C of DeltaABC such that cotA+cotB =constant. Then locus of C is

A and B are two fixed points. The locus of a point P such that angleAPB is a right angle, is:

If the vector product of a constant vector vec O A with a variable vector vec O B in a fixed plane O A B be a constant vector, then the locus of B is a. a straight line perpendicular to vec O A b. a circle with centre O and radius equal to | vec O A| c. a straight line parallel to vec O A d. none of these

If the vector product of a constant vector vec O A with a variable vector vec O B in a fixed plane O A B be a constant vector, then the locus of B is (a).a straight line perpendicular to vec O A (b). a circle with centre O and radius equal to | vec O A| (c). a straight line parallel to vec O A (d). none of these

Having given the bases and the sum of the areas of a number of triangles which have a common vertex, show that the locus of the vertex is a straight line.

Base BC of triangle ABC is fixed and opposite vertex A moves in such a way that tan.(B)/(2)tan.(C)/(2) is constant. Prove that locus of vertex A is ellipse.

If a DeltaABC remains always similar to a given triangle and the point A is fixed and the point B always moves on a given straight line, then locus of C is (A) a circle (B) a straight line (C) a parabola (D) none of these

Given two points A and B. If area of triangle ABC is constant then locus of point C in space is

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.

A straight lien is drawn from a fixed point O metting a fixed straight line 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.