Question
Asked Nov 25, 2019
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A planet follows an elliptical path described by 81x+9y= 729. A comet follows the parabolic path y x-
might the comet intersect the orbiting planet?
-9. Where
The comet might intersect the planet's orbit at the points
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A planet follows an elliptical path described by 81x+9y= 729. A comet follows the parabolic path y x- might the comet intersect the orbiting planet? -9. Where The comet might intersect the planet's orbit at the points

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Expert Answer

Step 1
Consider the given elliptical equation as 81x2 +9y2 =729 and the parabolic
equation as y x-9
Substitute the parabolic equation in the elliptical equation and solve for x
81 +9(x-9)729
8lx2 9x729 -162x2 = 729
9x481x2 0
9x (x-9)0
9x2 0 orx29 = 0
11
x = 0 or x = +3
help_outline

Image Transcriptionclose

Consider the given elliptical equation as 81x2 +9y2 =729 and the parabolic equation as y x-9 Substitute the parabolic equation in the elliptical equation and solve for x 81 +9(x-9)729 8lx2 9x729 -162x2 = 729 9x481x2 0 9x (x-9)0 9x2 0 orx29 = 0 11 x = 0 or x = +3

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