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Which of the following is not a linear equation class 10?

Published in Linear Equations 1 min read

The equation 0x + 0y + 0y + c = 0 is not a linear equation in two variables according to the reference material.

Explanation

A linear equation in two variables is defined as an equation that can be written in the form ax + by + c = 0, where a, b, and c are constants, and x and y are variables.

The provided equation 0x + 0y + 0y + c = 0 simplifies to c = 0. This means that:

  • The coefficients of x and y are zero.
  • The equation doesn't represent a line in the xy-plane unless c is also zero, in which case it becomes trivially true (0 = 0).

Therefore, it doesn't fit the standard form of a linear equation in two variables as it lacks the variable terms with non-zero coefficients. It essentially becomes a statement about the constant c.

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