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If the normals at (x(i),y(i)) i=1,2,3,4 ...

If the normals at `(x_(i),y_(i)) i=1,2,3,4` to the rectangular hyperbola `xy=2` meet at the point `(3,4)` then

A

`x_(1) + x_(2) + x_(3) + x_(4) = 3`

B

`y_(1) + y_(2) + y_(3) + y_(4) = 4`

C

`x_(1)x_(2)x_(3)x_(4) = - 4`

D

`y_(1)y_(2)y_(3)y_(4) = 4`

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The correct Answer is:
A, B, C
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