If the graph of the function $y = m x + c$ passes through origin, then 'c' must be zero.

False.

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Sometimes true.

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Always true.

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Indeterminate.

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Solution

The correct option is B Always true.
The line $y = m x + c$ passes through the origin.
i.e it passes through $(0, 0)$ .
Putting $(x, y) = (0, 0)$ in the given equation,
$0 = m \times 0 + c ⟹ c = 0.$
So the given assertion is true.
Ans- Option C.

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