If $x^{2} + y^{2} + 2 x + 1 = 0,$ and $x = - 1$ , then the value of $x^{2} + y^{2}$ is___

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Solution

Given:
$x^{2} + y^{2} + 2 x + 1 = 0$
If $x = - 1$ then,
$x^{2} + y^{2} + 2 x + 1 = 0$ put value $x = - 1$
$∴ x^{2} + y^{2} + 2 (- 1) + 1 = 0$
$\Rightarrow x^{2} + y^{2} - 2 + 1 = 0$
$\Rightarrow x^{2} + y^{2} - 1 = 0$
$\Rightarrow x^{2} + y^{2} = 1$
Hence, Option B is correct.

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