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Find the points on the curve 5x^2-8x y+5...

Find the points on the curve `5x^2-8x y+5y^2=4` whose distance from the origin is maximum or minimum.

A

`(sqrt2, sqrt2)`

B

`(-sqrt2, - sqrt2)`

C

`(sqrt2/3, - sqrt2/3)`

D

`(-sqrt2/3, sqrt2/3)`

Text Solution

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The correct Answer is:
A, B, C, D
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