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Question

If the point (x, y) is at equal distance from the x-axis and y-axis, then the relationship between x and y can be

A

x=2y
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B

x=3y
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C

2x+y=0
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D

x=y
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Solution

The correct option is D
x=y
Given that the point (x, y) is at equal distances from the x-axis and y-axis.

Distance of point (x, y) from x-axis = Distance of point (x, y) from y-axis


Now, the distance of a point from the x-axis is equal to the absolute value of its y-coordinate and the distance from the y-axis is equal to the absolute value of its x-coordinate.

y=xi.e. x=y

Hence, the correct answer is option (d).

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