If x - -2-1-2-1- y - -2-1-2-1- then x2 - xy - y2 is equal to-

The correct option is B 35 Let f(x) = x ^ 2 +xy+ y ^ 2 =( x+y ) ^ 2 xy— (1) Now x+y=√( 2 ) +1 √( 2 ) 1 +√( 2 ) 1 √( ...

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How to Find the Inverse of a Function

If x = √2+1...

Question

If $x = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}, y = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}$ , then $x^{2} + x y + y^{2}$ is equal to?

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x = \frac{\sqrt{2} + 1}{\sqrt{2} - 1}

y = \frac{\sqrt{2} - 1}{\sqrt{2} + 1}

x^{2} + y^{2} + x y

x^{2} + y^{2} - x y = 3 and y - x = 1, then \frac{x y}{x^{2} + y^{2}} =___________.

If $s e c^{- 1} \sqrt{1 - x^{2}} + c o s e c^{- 1} \frac{\sqrt{1 + y^{2}}}{4} + c o t^{- 1} \frac{1}{z} = π$ ,then x+y+z is equal to

- \frac{3}{2}

x y + y z + z x = 1

\frac{x}{1 + x^{2}} + \frac{y}{1 + y^{2}} + \frac{z}{1 + z^{2}}

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