AP EAMCET · Maths · Functions
If \([a, b]\) is the range of the function \(\frac{x+2}{2 x^2+3 x+6}\) for \(x \in \mathbf{R}\), then
- A \(a < 0, b < 0\)
- B \(a < 0, b>0\)
- C \(a>0, b>0\)
- D \(a>0, b < 0\)
Answer & Solution
Correct Answer
(B) \(a < 0, b>0\)
Step-by-step Solution
Detailed explanation
\([a, b]\) is range of \(\frac{x+2}{2 x^2+3 x+6}\) and \(x \in \mathbf{R}\) Let \(y=\frac{x+2}{2 x^2+3 x+6}\)…
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
- An analysis of monthly wages paid to the workers of two jute mills \(A\) and \(B\) gives the following data:
\begin{array}{lll}
No. of workers & Mill-A & Mill-B \\
Average daily wage (in rupees) & 500 & 600 \\
Variance of distribution of wages & 186 & 175 \\
81 & 100
\end{array}
ThenAP EAMCET 2023 Easy - The four distinct points \((0,0),(2,0),(0,-2)\) and \((k,-2)\) are concyclic, if \(k\) is equal toAP EAMCET 2002 Easy
- \(\int_1^2 \tan ^{-1}\left(\frac{x}{x^2+1}\right)+\tan ^{-1}\left(\frac{x^2+1}{x}\right) d x=\)AP EAMCET 2022 Medium
- If a circle is inscribed in an equilateral triangle of side a, then the area of any square (in sq. units) inscribed in this circle isAP EAMCET 2024 Medium
- If \([2,6]\) is divided into four intervals of equal length, then the approximate value of \(\int_2^6 \frac{1}{x^2-x} d x\) using Simpson's rule, isAP EAMCET 2003 Hard
- The equation of the curve passing through \((1,2)\) and whose tangent at any point \((x, y)\) makes an angle \(\tan ^{-1}(2 x+3 y)\) with the \(X\)-axis is .........AP EAMCET 2020 Hard
More PYQs from AP EAMCET
- In a \(100 \mathrm{~L}\) vessel, 3 moles of nitrogen and 3 moles of \(\mathrm{PCl}_5\) are taken and heated to \(500 \mathrm{~K}\). The equilibrium pressure is \(3.28 \mathrm{~atm}\). The percentage degree of dissociation of \(\mathrm{PCl}_5\) is : (Assume ideal behaviour for all gases).AP EAMCET 2017 Hard
- The reaction of ‘tert-butyl methyl ether’ with one equivalent of HI givesAP EAMCET 2021 Medium
- The equation of the line passing through the point of intersection of lines and and the point isAP EAMCET 2020 Easy
- If in an amplitude modulated wave, the maximum amplitude is 14 V and the modulation index is 0.4, then the amplitude of the carrier wave isAP EAMCET 2025 Easy
- Maximum number of electrons possible with spin quantum number \(+\frac{1}{2}\) with principal quantum number \(\mathrm{n}=4\) in an atom isAP EAMCET 2022 Easy
- Observe the following reactions
\(\begin{aligned}
& \mathrm{AB}(g)+25 \mathrm{H}_2 \mathrm{O}(l) \rightarrow \mathrm{AB}_{\left(50 \mathrm{H}_2 \mathrm{O}\right)} ; \Delta \mathrm{H}=x \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \mathrm{AB}(\mathrm{~g})+50 \mathrm{H}_2 \mathrm{O}(l) \rightarrow \mathrm{AB}_{\left(50 \mathrm{H}_2 \mathrm{O}\right)} ; \Delta \mathrm{H}=y \mathrm{~kJ} \mathrm{~mol}^{-1}
\end{aligned}\)
The enthalpy of dilution \(\left(\Delta \mathrm{H}_{\mathrm{dil}}\right)\) in \(\mathrm{kJ} \mathrm{mol}^{-1}\) isAP EAMCET 2024 Medium