The line represented by the equation $3 x - 3 y = 6$ passes through the origin.

True

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False

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Solution

The correct option is B
False

The line representing a linear equation in two variables passes through the origin if (0,0) is a solution of the equation.

On substituting $x = 0, y = 0$ in the equation, we get

$L H S \to 3 x - 3 y$

$L H S \to 3 (0) - 3 (0) = 0 \neq 6,$

$\Rightarrow L H S \neq R H S$

So, (0, 0) is not a solution of the given equation.

$∴$ The line represented by the equation $3 x - 3 y = 6$ does not pass through origin.

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