Hello, varunnayudu!

Substitute into the equation.How will you find out if the point is outside, on or inside the ellipse

Compare the left side to the right side.

If the left is: .

Apply the above test to the three vertices.Hence, show that the triangle whose vertices are and

lies wholly inside the ellipse

Since an ellipse is convex, if the vertices are inside the ellipse,

. . the sides are also inside the ellipse.