JEE Mains · Maths · STD 11 - 4.1 complex nubers
The point represented by \(2 + i\) in the Argand plane moves \(1\,unit\) eastwards, then \(2\,units\) northwards and finally from there \(2\sqrt 2\,units\) in the south-westwards direction. Then its new position in the Argand plane is at the point represented by
- A \(1+i\)
- B \(2+2i\)
- C \(-2-2i\)
- D \(-1-i\)
Answer & Solution
Correct Answer
(A) \(1+i\)
Step-by-step Solution
Detailed explanation
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 area of the region described by \(A=\{(x,y):x^2 + y^2 \le 1\,and\,y^2 \le 1-x \}\) isJEE Mains 2014 Hard
- Let \(\mathrm{x}=\frac{\mathrm{m}}{\mathrm{n}}\) ( \(\mathrm{m}, \mathrm{n}\) are co-prime natural numbers) be a solution of the equation \(\cos \left(2 \sin ^{-1} x\right)=\frac{1}{9}\) and let \(\alpha, \beta(\alpha>\beta)\) be the roots of the equation \(\mathrm{mx}^2-\mathrm{nx}-\) \(\mathrm{m}+\mathrm{n}=0\). Then the point \((\alpha, \beta)\) lies on the lineJEE Mains 2024 Medium
- The radius of the smallest circle which touches the parabolas \(y=x^2+2\) and \(x=y^2+2\) isJEE Mains 2025 Medium
- The value of \(-{ }^{15} C _{1}+2 .{ }^{15} C _{2}-3 .{ }^{15} C _{3}+\ldots \ldots\) \(-15 .{ }^{15} C _{15}+{ }^{14} C _{1}+{ }^{14} C _{3}+{ }^{14} C _{5}+\ldots .+{ }^{14} C _{11}\) isJEE Mains 2021 Hard
- \(\lim \limits_{x \rightarrow \frac{1}{\sqrt{2}}} \frac{\sin \left(\cos ^{-1} x\right)-x}{1-\tan \left(\cos ^{-1} x\right)}\) is equal toJEE Mains 2022 Hard
- If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity \(e\) of the ellipse satisfiesJEE Mains 2020 Hard
More PYQs from JEE Mains
- Let \( S=\{(m,n): m, n\in\{1,2,3,.....,50\}\} \). If the number of elements (m, n) in S such that \( 6^{m}+9^{n} \) is a multiple of 5 is p and the number of elements (m, n) in S such that \( m+n \) is a square of a prime number is q, then \( p+q \) is equal to :JEE Mains 2026 Medium
- Let \(\mathrm{a}, \mathrm{b} \in R, \mathrm{b} \neq 0\), Define a function \(f(x)= \begin{cases}\operatorname{a} \sin \frac{\pi}{2}(x-1), & \text { for } x \leq 0 \\ \frac{\tan 2 x-\sin 2 x}{b x^{3}}, & \text { for } x>0\end{cases}\) If \(f\) is continuous at \(x=0\), then \(10-a b\) is equal to ...... .JEE Mains 2021 Medium
- The area enclosed between the curves \(y^2+4 x=4 \text { and } y-2 x=2 \text { is}\)JEE Mains 2023 Medium
- Let \(X\) be a random variable having binomial distribution \(B (7, p )\). If \(P ( X =3)=5 P ( X =4)\), then the sum of the mean and the variance of \(X\) isJEE Mains 2022 Medium
- Let the slope of the tangent to a curve \(y=f(x)\) at \((x, y)\) be given by \(2 \tan x(\cos x-y)\). if the curve passes through the point \((\frac{\pi}{4},0)\), then the value of \(\int \limits_{0}^{\pi / 2} y d x\) is equal toJEE Mains 2022 Hard
- If \(\alpha\) and \(\beta\) are the distinct roots of the equation \(x^{2}+(3)^{1 / 4} x+3^{1 / 2}=0\), then the value of \(\alpha^{96}\left(\alpha^{12}-\right.1) +\beta^{96}\left(\beta^{12}-1\right)\) is equal to:JEE Mains 2021 Hard