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

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

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 _________ .

Base of a right angled triangle is

If the angles of a triangle are in the ratio 2:3:7, then the sides opposite to the angles are in the ratio

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.

What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle? (a) 1 : 2 (b) 2 : 1 (c) 3 : 1 (d) Data inadequate (e) None of these