JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f(x, y)=x^2-y^2

and

g(x, y)=2 x y,

such that

(f(x, y))^2-(g(x, y))^2=\frac{1}{2}

and

f(x, y) \cdot g(x, y)=\frac{\sqrt{3}}{4}

Find the number of ordered pairs

(x, y)?

View answer and explanation

Correct option: A

Option A (4) is correct because there are four ordered pairs (x, y) that satisfy the given equations involving f(x, y) and g(x, y).

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