TS EAMCET · Maths · Application of Derivatives
If \(6 x-x^2+12\) attains its extreme value \(\beta\) at \(x=\alpha\) then \(\beta=\)
- A \(7 \alpha\)
- B \(5 \alpha\)
- C \(3 \alpha\)
- D \(\alpha\)
Answer & Solution
Correct Answer
(A) \(7 \alpha\)
Step-by-step Solution
Detailed explanation
We are given that…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The line \(2 x+y=1\) is a tangent to the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1(a>b)\). If this line passes through the point of intersection of a directrix and the positive \(X\)-axis, then the eccentricity of that hyperbola isTS EAMCET 2019 Medium
- The value of \(k\) such that the lines \(2 x-3 y+k=0, \quad 3 x-4 y-13=0 \quad\) and \(8 x-11 y-33=0\) are concurrent, isTS EAMCET 2008 Easy
- \[ \sin 6^{\circ}+\sin 54^{\circ}+\sin 126^{\circ}+\cos 156^{\circ}= \]TS EAMCET 2023 Easy
- If \(\sin \mathrm{A}=-\frac{24}{25}, \cos \mathrm{~B}=\frac{15}{17}, \mathrm{~A}\) does not belong to \(4^{\text {th }}\) quadrant and B does not belong to \(1^{\text {st }}\) quadrant then \((\mathrm{A}+\mathrm{B})\) lies in the quadrantTS EAMCET 2025 Medium
- The shortest distance between the lines \(\mathbf{r}=(3 t-4) \hat{\mathbf{i}}-2 \hat{\mathbf{j}}-(1+2 t) \hat{\mathbf{k}}\) and \(\mathbf{r}=(6+s) \hat{\mathbf{i}}+(2-2 s) \hat{\mathbf{j}}+2(\mathfrak{l}+s) \hat{\mathbf{k}}\) isTS EAMCET 2018 Easy
- Let \(A B C\) be a triangle and \(A=(1,2)\). If \(x-3 y-5=0\) and \(x+5 y-9=0\) are the perpendicular bisectors of the sides \(A B\) and \(B C\) respectively, then the length of the side \(A C\) isTS EAMCET 2023 Medium
More PYQs from TS EAMCET
- If a gas has \(n\) degrees of freedom, then the ratio of \(\frac{C_p}{C_V}\) isTS EAMCET 2020 Easy
- A circle \(S \equiv x^2+y^2+2 g x+2 f y+6=0\) cuts another circle \(x^2+y^2-6 x-6 y-6=0\).orthogonally. If the angle between the circles \(S=0\) and \(x^2+y^2+6 x+6 y+2=0\) is \(60^{\circ}\), then the radius of the circle \(S=0\) isTS EAMCET 2024 Medium
- For a reaction \(A+B \longrightarrow P\), the following data are provided:

The rate constant for this reaction in standard unit is:TS EAMCET 2021 Hard - Consider the charged cylindrical capacitor. The magnitude of electric field in its annular regionTS EAMCET 2021 Easy
- An isolated lead ball is charged upon continuous irradiation by EM radiation of wavelength, \(\lambda=221 \mathrm{~nm}\). The maximum potential attained by the lead ball, if its work function is \(4.14 \mathrm{eV}\) is (take, \(h=6.63 \times 10^{-34} \mathrm{~J}-\mathrm{s}\), \(c=3 \times 10^8 \mathrm{~m} / \mathrm{s}, e=1.6 \times 10^{-19} \mathrm{C}\) )TS EAMCET 2018 Medium
- The product \(D\) in the following reaction sequence is
TS EAMCET 2020 Medium