# Difference between revisions of "2021 April MIMC Problems/Problem 18"

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What can be a description of the set of solutions for this: <math>x^{2}+y^{2}=|2x+|2y||</math>? | What can be a description of the set of solutions for this: <math>x^{2}+y^{2}=|2x+|2y||</math>? | ||

− | <math>\textbf{(A)}</math> Two overlapping circles with each area <math>2\pi</math> | + | <math>\textbf{(A)}</math> Two overlapping circles with each area <math>2\pi</math>. |

− | <math>\textbf{(B)}</math> Four not overlapping circles with each area <math>4\pi</math> | + | <math>\textbf{(B)}</math> Four not overlapping circles with each area <math>4\pi</math>. |

− | <math>\textbf{(C)}</math> There are two overlapping circles on the right of the <math>y</math>-axis with each area <math>2\pi</math> and the intersection area of two overlapping circles on the left of the <math>y</math>-axis with each area <math>2\pi</math> | + | <math>\textbf{(C)}</math> There are two overlapping circles on the right of the <math>y</math>-axis with each area <math>2\pi</math> and the intersection area of two overlapping circles on the left of the <math>y</math>-axis with each area <math>2\pi</math>. |

− | <math>\textbf{(D)}</math> Four overlapping circles with each area <math>4\pi</math> | + | <math>\textbf{(D)}</math> Four overlapping circles with each area <math>4\pi</math>. |

<math>\textbf{(E)}</math> There are two overlapping circles on the right of the <math>y</math>-axis with each area <math>4\pi</math> and the intersection area of two overlapping circles on the left of the <math>y</math>-axis with each area <math>4\pi</math>. | <math>\textbf{(E)}</math> There are two overlapping circles on the right of the <math>y</math>-axis with each area <math>4\pi</math> and the intersection area of two overlapping circles on the left of the <math>y</math>-axis with each area <math>4\pi</math>. |

## Revision as of 17:37, 22 April 2021

What can be a description of the set of solutions for this: ?

Two overlapping circles with each area .

Four not overlapping circles with each area .

There are two overlapping circles on the right of the -axis with each area and the intersection area of two overlapping circles on the left of the -axis with each area .

Four overlapping circles with each area .

There are two overlapping circles on the right of the -axis with each area and the intersection area of two overlapping circles on the left of the -axis with each area .