Assertion : If 1 f(x) d x=2 log | f (x)|+c, then f(x)= x 2 Reason : When f (x) = x 2 …
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Assertion : If \(\int \frac{1}{f(x)} d x=2\)log |f(x)|+c, then \(f(x)=\frac{x}{2}\)
Reason : When f (x) = \(\frac{x}{2}\), then
\(\int \frac{1}{f(x)} d x=\int \frac{2}{x} d x=2 \log |x|+c\)
Reason : When f (x) = \(\frac{x}{2}\), then
\(\int \frac{1}{f(x)} d x=\int \frac{2}{x} d x=2 \log |x|+c\)
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(D) If Assertion is false, Reason is true.
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