#
Find the equations of the osculating circles of the ellipse 4x^2 + 9y^2 = 36 at the points (3, 0) and (0, 2).

1
by mrambabu1600

Log in to add a comment

by mrambabu1600

Log in to add a comment

The Brainliest Answer!

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

So the radii of curvature are found using the formula above as 4/3 and 9/2 respectively.

Osculating circle at A(3,0) is

(x-5/3)² + (y-0)² = (4/3)², as the center is (3-4/3, 0)

At B(0,2) is

(x-0)² + (y+5/2)² = (9/2)², as the center is (0, 2-9/2)