AP EAMCET · Maths · Complex Number
\(\frac{(1+i) x-2 i}{3+i}+\frac{(2-3 i) y}{3-i}=i \Rightarrow x+y=\)
- A \(49/23\)
- B \(1\)
- C \(-2\)
- D \(2\)
Answer & Solution
Correct Answer
(A) \(49/23\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{(1+i) x-2 i}{3+i}+\frac{(2-3 i) y}{3-i}=i \\ & \Rightarrow((1+i) x-2 i)(3-i)+((2-3 i) y)(3+i)=10 i \\ & \Rightarrow(x+i x-2 i)(3-i)+(2 y-3 i y)(3+i)=10 i \\ & \Rightarrow 3 x+3 i x-6 i-i x+x-2 \\ & \quad+6 y-9 i y+2 i y+3 y=10 i \\ & \Rightarrow(3 x+x-2+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
- If \(\mathrm{f}(\mathrm{x})\) is a function such that \(\mathrm{f}^{\prime}(\mathrm{x})=\sqrt{\mathrm{f}^2(\mathrm{x})-1}\) and \(f(0)=1\), then \(f(1)=\)AP EAMCET 2023 Medium
- If \(A=\left[\begin{array}{ccc}2 & 1 & 3 \\ -1 & 2 & 0 \\ 4 & 1 & 3\end{array}\right], B=\left[\begin{array}{lll}3 & 2 & 1 \\ 1 & 2 & 3 \\ 3 & 1 & 0\end{array}\right]\), then \(\operatorname{det}\left(2 B^{-1} A^{-1}\right)\) is equal toAP EAMCET 2021 Medium
- If \(\theta\) is the acute angle between the tangents drawn from the point \((2,3)\) to the hyperbola \(5 x^2-6 y^2-30=0\), then \(\tan \theta=\)AP EAMCET 2023 Hard
- In \(\triangle \mathrm{ABC}\), if \(\frac{1}{\mathrm{r}_1}, \frac{1}{\mathrm{r}_2}\) and, \(\frac{1}{\mathrm{r}_3}\) are in arithmetic progression, then \(\mathrm{r}_2: \mathrm{r}=\)AP EAMCET 2023 Hard
- If \(g(x)=x^2+x-2\) and \(\frac{1}{2}(g \circ f)(x)=2 x^2-5 x+2\), then one such function \(f(x)=\)AP EAMCET 2018 Easy
- The minimum value of \(f(x)=\frac{x^2-2 x+3}{x^2-4 x+7}\) isAP EAMCET 2023 Medium
More PYQs from AP EAMCET
- The diameters of a circle are along \(2 x+y-7=0\) and \(x+3 y-11=0\). Then, the equation of this circle, which also passes through \((5,7)\), isAP EAMCET 2009 Easy
- A straight conductor of length \(32 \mathrm{~cm}\) carries a current of \(30 \mathrm{~A}\). Magnetic induction at a point in air at a perpendicular distance of \(12 \mathrm{~cm}\) from the mid-point of the conductor isAP EAMCET 2018 Easy
- The load resistance and the base-emitter voltage of a transistor in CE configuration are \(5 \mathrm{k} \Omega\) and \(0.02 \mathrm{~V}\) respectively. If the collector current is \(2 \mathrm{~mA}\), then its voltage gain isAP EAMCET 2023 Easy
- If \(f(x)=\left\{\begin{array}{cc}4 x-5, & x \leq 2 \\ x-k, & x>2\end{array}\right.\) then the value of ' \(k\) ' if \(\lim _{x \rightarrow 2} f(x)\) may exist is equal toAP EAMCET 2020 Easy
- \(\int \frac{\cos ^3 x+\cos ^5 x}{\sin ^2 x+\sin ^4 x} d x=\)AP EAMCET 2018 Medium
- of solution is mixed with of acetic acid solution, the of the resulting solution is_________
of acetic acid is .AP EAMCET 2019 Medium