How will you find out if the point is outside, on or inside the ellipse

Hence, show that the triangle whose vertices are and lies wholly inside the ellipse

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- Dec 19th 2008, 05:59 AMvarunnayuduellipse problem
How will you find out if the point is outside, on or inside the ellipse

Hence, show that the triangle whose vertices are and lies wholly inside the ellipse - Dec 19th 2008, 06:13 AMSoroban
Hello, varunnayudu!

Quote:

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: .

Quote:

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.