TS EAMCET · Maths · Complex Number
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
x=45+35i=154+3i 1x=54+3i=54-3i4-3i4+3i =45-35i Now, x2+1x2=x+1x2-2 =852-2=6425-2=1425 y=3-5i8 1y=83-5i×3+5i3+5i=3+5i8 Now, y2-1y2=y+1yy-1y =238-258i ⇒y2-1y2=-4158i So, x2+1x2y2-1y2 =1425-4158i=-7355i
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 \(\cos \left(\frac{\pi}{4}-x\right) \cos 2 x+\sin x \sin 2 x \sec x\) \(=\cos x \sin 2 x \sec x+\cos \left(\frac{\pi}{4}+x\right) \cos 2 x\), then a possible value of sec \(x\) isTS EAMCET 2020 Medium
- If \(\mathbf{a}=2 \mathbf{u}+3 \mathbf{v}+7 \mathbf{w}, b=\mathbf{u}+\mathbf{v}-2 \mathbf{w}\) and \(\mathbf{c}=-\mathbf{u}-2 \mathbf{v}-3 \mathbf{w}\) then \(\left|\frac{\left[\begin{array}{ll}\mathbf{u} & \mathbf{v}\end{array}\right]}{\left[\begin{array}{lll}\mathbf{a} & \mathbf{b} & \mathbf{c}\end{array}\right]}\right|(\mathbf{a}+\mathbf{b}+\mathbf{c})=\)TS EAMCET 2020 Medium
- The range of the function \(f(x)=-\sqrt{-x^2-6 x-5}\) isTS EAMCET 2023 Medium
- If a triangle \(A B C\) with two vertices \(A(5,4,6)\) and \(B(1,-1,3)\) has its centroid at \(\left(\frac{10}{3}, 2, \frac{11}{3}\right)\), then the third vertex \(C\) isTS EAMCET 2019 Easy
- Two friends \(A\) and \(B\) meet every weekend either at a party or at a Sports Club. The probability that they meet at Sports Club is \(\frac{4}{9}\). The probability that they will dine together at a party and at the Club are respectively \(\frac{1}{3}\) and \(\frac{2}{5}\). On a certain weekend the probability that they disperse without dine together isTS EAMCET 2021 Easy
- If \(f(x)=\frac{x}{1+x}\) and \(g(x)=f(f(x))\), then \(g^{\prime}(x)\) is equal toTS EAMCET 2014 Easy
More PYQs from TS EAMCET
- If the coefficient of \(x^r\) in the expansion of \(\left(1+x+x^2+x^3\right)^{100}\) is \(a_r\), and \(S=\sum_{r=0}^{300} a_r\) then \(\sum_{r=0}^{300} r \cdot a_r=\)TS EAMCET 2024 Easy
- Match the following \(List-I (Complex)\) (A) \(\left[\mathrm{CoF}_6\left[^{3-}\right.\right.\) (B) \(\left[\mathrm{Co}\left(\mathrm{C}_2 \mathrm{O}_4\right)_3\right]^{3-}\) (C) \(\left[\mathrm{FF}_6\right]^{3-}\) (D) \(\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{3-}\) \(List-II (Spin only Magnetic moment)\) (I) 0 (II) \(\sqrt{24}\) (III) \(\sqrt{8}\) (IV) \(\sqrt{35}\) (V) \(\sqrt{15}\) The correct answer is:TS EAMCET 2023 Medium
- Boron trifluoride on reaction with lithium aluminium hydride in ether gives \(\mathrm{LiF}, \mathrm{AlF}_3\) and X. X on reaction with \(\mathrm{NH}_3\) gives Y. Y on further heating gives a compound Z. The number of \(\sigma\)-bonds and \(\pi\)-bonds in Z are \(x\) and \(y\) respectively. \((x+y)\) is equal toTS EAMCET 2025 Hard
- The power of an electric motor is 242 W when connected to a 220 V supply. When the motor is operated at 200 V, the current drawn by it isTS EAMCET 2025 Medium
- If the vectors \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathrm{c}=x \hat{\mathbf{i}}+(x-2) \hat{\mathbf{j}}-\hat{\mathbf{k}}\) are coplanar, then \(x=\)TS EAMCET 2017 Medium
- If the line \(3 x-2 y+6=0\) meets \(X\)-axis and \(Y\)-axis, respectively at \(A\) and \(B\), then the equation of the circle with radius \(A B\) and centre at \(A\) isTS EAMCET 2004 Medium