Show that the area of triangle inscribed in an ellipse bears a constant ratio to the area of thetriangle formed by joining points on the auxiliary circle corresponding to the vertices of the firsttriangle.

The ratio of any triangle PQR inscribed in an ellipse x^2/a^2+y^2/b^2=1 and that of triangle formed by the corresponding points on the auxilliary circle is b/a .

The ratio of the area of triangle inscribed in ellipse x^2/a^2+y^2/b^2=1 to that of triangle formed by the corresponding points on the auxiliary circle is 0.5. Then, find the eccentricity of the ellipse. (A) 1/2 (B) sqrt3/2 (C) 1/sqrt2 (D) 1/sqrt3

prove that the area of a triangle is four times the area of the triangle formed by joining the mid-points of its sides.

Show that of all the rectangles inscribed in a given circle, the square has the maximum area.

The area of an equilateral triangle inscribed in a circle of radius 4 cm , is

The area of the triangle formed by three points on a parabola is how many times the area of the triangle formed by the tangents at these points?

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...

ABC is an equilateral triangle inscribed in a circle of radius 4 cm. Find the area of the shaded portion.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.