The coordinates of the point on the ellipse 16×2+9y2=400 where the ordinate decreases at the same rate at which the abscissa increases, are

The coordinates of the point on the ellipse $16{x}^{2}+9{y}^{2}=400$ where the ordinate decreases at the same rate at which the abscissa increases, are

1. A

2. B

3. C

4. D

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Solution:

We have,

Now

Hence , the required points are  and

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