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Write the joint equation of co-ordinate axes. - Mathematics and Statistics

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Question

Write the joint equation of co-ordinate axes.

Sum
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Solution

As we know that,

  • In the coordinate axes, on the x-axis, the value of y always stays constant and the value of x keeps changing.
  • Similarly, on the y-axis, the value of x stays constant and the value of y keeps changing.

Here,

Equation of coordinates,

for x-axis,

y = 0  `\implies` equation (1)

for y-axis,

x = 0  `\implies` equation (2)

now,

To get the combined equation we will multiply equations (1) and (2).

xy = 0

Hence the joint equation of coordinates axes is xy = 0

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