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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

If

f\left( {x + 2y,x,x - 2y} \right) = xy

, then

f\left( {x,\;y} \right)

equals

View answer and explanation

Correct option: A

\frac{{{x^2} - {y^2}}}{8}

Option A (

\frac{{{x^2} - {y^2}}}{8}

) is correct because by substituting

x + 2y = u

and

x - 2y = v

, we can express

f(u, v)

in terms of

u

and

v

, leading to the given expression.

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