Question
Find the equation for the ellipse that satisfies the given conditions: Major axis on the -axis, centre is origin and passes through the points and
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Text solutionVerified
Since the major axis is on the -axis, the equation of the ellipse will be of the form,
Where is the semi-major axis.
The ellipse passes through points and . Hence,
On solving equations (2) and (3) we obtain
Thus the equation of the ellipse is or
Where is the semi-major axis.
The ellipse passes through points and . Hence,
On solving equations (2) and (3) we obtain
Thus the equation of the ellipse is or
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Question Text | Find the equation for the ellipse that satisfies the given conditions: Major axis on the -axis, centre is origin and passes through the points and |
Answer Type | Text solution:1 |
Upvotes | 150 |