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CUET
-- Mathematics - Section B1
Relations and Functions
$f(x)=\sqrt{1+x+x^2}-\sqrt{1-x+x^2}$ is :
even
odd
neither even nor odd
None of these
$f(-x)= \sqrt{1+(-x)+(-x)^2}-\sqrt{1-(-x)+(-x)^2}$
$\sqrt{1-x+x^2}-\sqrt{1+x+x^2}$ = – f(x). Hence f(x) is odd.
Hence (2) is the correct answer.