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Question

# Consider the following statements: Statement I: Every curve that is not a straight line is a non-linear function. Statement II: A non-linear function must pass the vertical line test.

A
Both the statements are correct.
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B
Only statement I is correct.
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C
None of the statements are correct.
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Solution

## The correct option is B Only statement I is correct.Every curve that is not a straight line is not necessarily a function. To be a function, it must pass the vertical line test. For example, the plot of x=y2 is as follow: The curve is non-linear. However, it fails the vertical line test. Hence, it is not a function. ∴ Statement I is wrong, and Statement II is correct.

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