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

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?

p

x

y

x

y

If point P lies on the line y = -1, then its x and y coordinates are

\sqrt{x} - \sqrt{y} = \sqrt{x - y}

\sqrt{x} + \sqrt{x} = \sqrt{2 x}

x \sqrt{y} = y \sqrt{x}

\sqrt{x y} = \sqrt{x} \sqrt{y}

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