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Question

xy=0 is a line which is


A

parallel to x-axis

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B

parallel to y-axis

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C

passing through origin

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D

passing through (1, -1)

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Solution

The correct option is C

passing through origin


Given equation x - y = 0
y = x

Each solution (x, y) is a point lying on the line represented by this equation, and it satisfies the equation.

Let's choose a value for x and find the corresponding value of y.
If x = 1, then y = 1
If x = -1, then y = -1
If x = 0, then y = 0
xy=0, is a line passing through the origin (0,0) and it divides the cartesian plane into two equal halves.


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