Study the Assertion and Reason and choose the correct option.
f(x) is a quadratic function.
Assertion: $f(x)$ is a quadratic function.
Reason: Derivative of every quadratic function is linear.
(a)Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b)Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c)Assertion is true and Reason is false.
(d)Assertion is false and Reason is true.
Answer
Answer
Correct option: (b)
Answer: (b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
The graph shows $f'(x)$ is a straight line (linear), so $f(x)$ is quadratic: the Assertion is true. The Reason is also true, but it states the converse (quadratic gives linear derivative), so it does not explain the Assertion.
