If the base of a triangle and the ratio of tangent of half of base angles are given, then identify the locus of the opposite vertex.

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the vertex lies on

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given,then the vertex lies on

Given the base of a triangle and the ratio of the tangent of half the base angles.Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

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.

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.

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.