If on a given base, a triangle be described such that the sum of the tangents of the base angles is a constant, then the locus of the vertex is: (A) a circle (Bi a parabola (C) an ellipse (D) a hyperbola

If on a given base BC, a triangle is described sungles is m, sum of the that that of the base anples is m, then prove that the locus of the opposite vertex A is a parabola.

If on a given base BC[B(0,0) and C(2,0)], a triangle is described such that the sum of the base angles is 4, then the equation of the locus of the opposite vertex A is parabola whose directrix is y=k. The value of k is _________ .

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.

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.

Problems based on Tangent to ellipse and hyperbola

Given the base of a triangle and the sum of its sides,prove that the locus of the centre of its incircle is an ellipse.

A variable circle is described to passes through the point (1, 0) and tangent to the curve y = tan(tan^(-1)x) . The locus of the centre of the circle is a parabola whose

A variable circle is described to pass through the point (1,0) and tangent to the curve y=tan(tan^(-1)x). The locus of the centre of the circle is a parabola whose

In an isosceles triangle if the vertex angle is twice the sum of the base angles,calculate the angles of the triangle

In an isosceles triangle,if the vertex angle is twice the sum of the base angles,calculate the angles of the triangle.