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What is Locus?...

What is Locus?

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What is the locus of w if w=3/za n d|z-1|=1?

What is the locus of z if ||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi-3)?

The coordinates of a moving point P are (2t^(2) + 4, 4t + 6) , show that the locus of P is a parabola.

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.

Prove that the locus of the centroid of the triangle whose vertices are (acost ,asint),(bsint ,-bcost), and (1,0) , where t is a parameter, is circle.

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

In triangle ABC, base BC is fixed. Then prove that the locus of vertex A such that tan B+tan C= Constant is parabola.

Prove that the locus of the point of intersection of the normals at the ends of a system of parallel cords of a parabola is a straight line which is a normal to the curve.

What type of conic is the locus of the moving point (at^(2),2at) ? Find the equation of the locus .

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(3z^2-z-2))}=(2pi)/3dot