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[" Example "29." Having given the bases ...

[" Example "29." Having given the bases and the sum of the areas for number of triangles is "],[" constant,which have a common vertex.Show that the locus of this vertex is a straight line."],[" solution: Let the co-ordinates of the verter he "]

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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.

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.

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.

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.

Given the base of the triangle and the sum of tangent of base angles as a negative constant -k^(2) , show that the locus of the vertex of the triangle is a parabola.

Find the locus of the vertex of a triangle with fixed base and having constant area

Given the base BC of the triangle ABC and if angleC-angleB=k, a constant, show that the locus of the vertex A is a hyperbola.

Given the base BC of the triangle ABC and if angleC-angleB=k, a constant, show that the locus of the vertex A is a hyperbola.

If on a given base B C , a triangle is described such that the sum of the tangents of the base angles is m , then prove that the locus of the opposite vertex A is a parabola.

If on a given base B C , a triangle is described such that the sum of the tangents of the base angles is m , then prove that the locus of the opposite vertex A is a parabola.