Let ' a ' be a real number such that the function \(f(x)=a{x}^{2}+6x-15,x\in R\) is increasing in \(\left(-\infty ,\frac{3}{4}\right)\) and decreasing in \(\left(\frac{3}{4},\infty \right)\). Then the function \(g(x)=a{x}^{2}-6x+15,x\in R\) has a :

[JEE Main 2021, 20 Jul (Shift 1)]

Question

Let ' a ' be a real number such that the function \(f(x)=a{x}^{2}+6x-15,x\in R\) is increasing in \(\left(-\infty ,\frac{3}{4}\right)\) and decreasing in \(\left(\frac{3}{4},\infty \right)\). Then the function \(g(x)=a{x}^{2}-6x+15,x\in R\) has a :

[JEE Main 2021, 20 Jul (Shift 1)]

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Let ' a ' be a real number such that the function \(f(x)=a{x}^{2}+6x-15,x\in R\) is increasing in \(\left(-\infty ,\frac…

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