TS EAMCET · Maths · Quadratic Equation
If \(\frac{3 x+2}{(x+1)\left(2 x^2+3\right)}=\frac{A}{x+1}+\frac{B x+C}{2 x^2+3}\), then \(A-B+C=\)
- A 1
- B 2
- C 3
- D 5
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \frac{3 x+2}{(x+1)\left(2 x^2+3\right)}=\frac{A}{x+1}+\frac{B x+C}{2 x^2+3} \\ & (3 x+2)=A\left(2 x^2+3\right)+(x+1)(B x+C) \end{aligned} \] when \[ \begin{aligned} x & =-1 \\ 5 A & =-1 \quad \Rightarrow A=-\frac{1}{5} \end{aligned} \] When…
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
- In matrix notation, if the system of equations \(\left[\begin{array}{c}1 \ -1 \ 2\end{array}\right]\left[\begin{array}{ll}1-1 & 2\end{array}\right]\left[\begin{array}{l}x \ y \ z\end{array}\right]=\left[\begin{array}{c}5 \ -5 \ 10\end{array}\right]\) has infinite number of solution, then all these solutions lie onTS EAMCET 2021 Easy
- If \(f(1)=3\), and \(f(n+1)-f(n)=3\left(4^n-1\right)\), then \(\forall n \in \mathbf{N}, f(n)=\)TS EAMCET 2020 Medium
- If \(P\) is a complex number whose modulus is one, then the equation \(\left(\frac{1+i z}{1-i z}\right)^4=P\) hasTS EAMCET 2019 Easy
- If \(f:[0, \infty) \rightarrow[0, \infty)\) is defined by \(f(x)=\frac{x}{1+x}\), then \(f\) isTS EAMCET 2018 Easy
- If and thenTS EAMCET 2021 Medium
- There are two boxes each containing 10 balls. In each box, few of them are black balls and rest are white. A ball is drawn at random from one of the boxes and found that it is black. If the probability that the black ball drawn is from the second box is \(\frac{1}{5}\), then number of black balls in the first box isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- In a , if , and the area of the triangle is sq. units, thenTS EAMCET 2020 Medium
- TS EAMCET 2018 Medium
- If \(\operatorname{Sinh}^{-1} x=\operatorname{Cosh}^{-1} y=\log (1+\sqrt{2})\) then \(\operatorname{Tan}^{-1}(x+y)=\)TS EAMCET 2025 Medium
- If \(\quad f(0)=0, f(1)=1, f(2)=2 \quad\) and \(f(x)=f(x-2)+f(x-3)\) for \(x=3,4,5, \ldots\), then \(f(9)\) is equal toTS EAMCET 2010 Medium
- If \(\overline{\mathrm{a}}=\bar{i}-2 \bar{j}+2 \bar{k}\) and \(\overline{\mathrm{b}}=9 \bar{i}+6 \bar{j}-18 \bar{k}\) are two vectors, then \(\frac{\text { Projection of } \overline{\mathrm{b}} \text { on } \overline{\mathrm{a}}}{\text { Projection of } \overline{\mathrm{a}} \text { on } \overline{\mathrm{b}}}=\)TS EAMCET 2025 Medium
- A metal disc of radius \(30 \mathrm{~cm}\) rotates with a constant angular velocity \(\omega=100 \mathrm{rad} / \mathrm{s}\) about its axis. Find the magnitude of potential difference between the centre and the rim of the disc of external uniform magnetic field of induction \(\mathrm{B}=4 \mathrm{mT}\) is directed perpendicular to the disc.TS EAMCET 2022 Medium