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The distance between the origin and the point nearest it on the surface z2 = 1 + xy is
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- 1
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√3 2
- √3
- 2
- 1
Correct Option: A
Take a point on the curve z = 1, x = 0, y = 0
Length between origin and this point
l = √( 1- 0) + (0 - 0) + (0 - 0 ) = 1
This is minimum length because all options have length greater than l.
