The point whose both coordinates have opposite signs, lies in which of the following quadrants?

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I and IV

II and IV

III only

None of these

answer is B.

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Detailed Solution

Here, we have to find the quadrant of the point whose both coordinates have opposite signs.
We know that if both coordinates are positive, the given point will be located in the first quadrant.
If the first coordinate of the given point is negative and the second coordinate is positive, the given point will be in the second quadrant.
If both coordinates are negative, the given point will be located in the third quadrant.
If the first coordinate of the given point is positive and the second coordinate is negative, the given point will be in the fourth quadrant.
Since both coordinates have opposite signs in the second and fourth quadrants, therefore option (2) is correct.

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