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Location of a Point on a Plane

If x,y are th...

Question

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?

A

xy = 1

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B

x + y = 0

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C

x and y are not related

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D

x = y

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Solution

The correct option is D
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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