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KVPY2011MathematicsSets and Relations

Let A= R ²( )+ ²( )=1 and B= R ( ) ( )=0 . Then A B

Options

  1. Ais the empty set
  2. Bhas exactly one element
  3. Chas more than one but finitely many elements.
  4. Dhas infinitely many elements

Correct answer

A. is the empty set

Step-by-step solution

for A B ( )=1 or -1 & ( )=0 which is not possible or ( )=0 & ( )=1 or -1 also not possible so A B is an empty set

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