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Mathematics > Standard Multiple Choice

In the figure above, which quadrants contain pairs that satisfy the condition ?

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### Explanation

In order for to satisfy , it must be true that and are equal to each other and not equal to zero. An example of such a pair is , which is in quadrant .

In quadrant , all the values are negative and all the values are positive, so in quadrant , and cannot be equal. For example, the pair does not satisfy the condition, since , not .

In quadrant , the values and the values are both negative, so it is possible for and to be equal. For example, the pair is in quadrant and .

In quadrant , and cannot be equal because the values are positive and the values are negative. For example, the pair does not satisfy the condition, since .

The quadrants that contain pairs that satisfy the given condition are quadrants and only.