Given below are two statements. STATEMENT - 1: f(x)= x^ 3 3 + a x^ 2 2 +x+5 has positive…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Given below are two statements.
STATEMENT - 1: \(f(x)=\frac{x^{3}}{3}+\frac{a x^{2}}{2}+x+5\) has positive point of maxima for \(a<-2\).
STATEMENT - 2: \(x^{2}+a x+1=0\) has both roots positive for \(a<-2\).
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is a correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not a correct explanation for Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(B) Both the statements are true but Statement - 2 is not a correct explanation for Statement - 1
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