Value of $x^{2} - x y + y^{2}$ when x = 0 & y =1 is :

-1

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Solution

The correct option is C 1
$(0)^{2} - (0) (1) + (1)^{2}$
= 1

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t a n \frac{1}{2} [s i n^{- 1} \frac{2 x}{1 + x^{2}} + c o s^{- 1} \frac{1 - y^{2}}{1 + y^{2}}]

| x | < 1, y > 0 a n d x y < 1

Find the value of tan $[\frac{1}{2} {s i n^{- 1} (\frac{2 x}{1 + x^{2}}) + c o s^{- 1} (\frac{1 - y^{2}}{1 + y^{2}})}], | x | < 1, y > 0, x y < 1$ .

t a n \frac{1}{2} [s i n^{- 1} \frac{2 x}{1 + x^{2}} + c o s^{- 1} \frac{1 - y^{2}}{1 + y^{2}}]

| x | < 1, y > 0 a n d x y < 1

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