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