Find the locus of the vertices of an equilateral triangle circumscribing the ellipse `x^2/a^2 + y^2/b^2 = 1`.

Find the locus of the vertices of equilateral triangle circumscribing the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 .

The eccentric angles of the vertices of a triangle inscribed in the ellipse x^2/a^2 + y^2/b^2 =1 are alpha, beta, gamma , then for the area of this triangle to be greatest, the angle subtended by the two consecutive vertices of the triangle at the centre of the ellipse in degree measure is...

Find the coordinates of the vertices of an equilateral triangle of side 2a as shown in Figure.

If (a cos theta_(1), a sin theta_(1)), ( a cos theta_(2), a sin theta_(2)), (a costheta_(3), a sin theta_(3)) represents the vertices of an equilateral triangle inscribed in x^(2) + y^(2) = a^(2) , then

Find the area of equilateral triangle inscribed in a circle x^2+y^2+2gx+2fy+c=0

Show that the equation of the circle with centre at origin and passing through the vertices of an equilateral triangle whose median is of length 3a is x^(2)+y^(2)=4a^(2) .

The locus of the poles of tangents to the auxiliary circle with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

Find the locus of the points of the intersection of tangents to ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 which make an angle theta.

The locus of the foot of the perpendicular from the foci an any tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of mid points of parts in between axes and tangents of ellipse x^2/a^2 + y^2/b^2 =1 will be