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Prove that the curves xy = 4 and x2 + y2 = 8 touch each other.
Prove that the curves xy = 4 and x2 + y2 = 8 touch each other.
Application of Derivatives | Class 12 | Exercise 1 | Maths | NCERT Exemplar
Prove that the curves xy = 4 and x2 + y2 = 8 touch each other.

Given bends are conditions of two circles,

\[xy\text{ }=\text{ }4\text{ }\ldots \text{ }..\text{ }\left( I \right)\] and

\[x2\text{ }+\text{ }y2\text{ }=\text{ }8\text{ }\ldots \text{ }.\text{ }\left( ii \right)\]

Distinctive condition (I) w.r.t., x

NCERT Exemplar Solutions Class 12 Mathematics Chapter 6 - 21

Accordingly, the resource of the two circles are \[\left( 2,\text{ }2 \right)\text{ }and\text{ }\left( -\text{ }2,\text{ }2 \right).\]

i

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