If (x, y) are the coordinates of any point P, at the same time if (x, y) = (y, x), which of following options must hold true?

x+y=0

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x=y

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xy=1

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x and y are not related

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Solution

The correct option is B
x=y

Since (x, y) represents coordinates of a point, x is the abscissa and y is the ordinate. In case of (y, x), y is the abscissa and x is the ordinate. So, for the two coordinates to be equal, the values of x and y should be same.

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