AP EAMCET · Maths · Complex Number
\(S=\{z \in C /|z+1-i|=1\}\) represents
- A the circle with centre at \((-1,1)\) and radius 1 unit
- B the circle with centre at \((1,-1)\) and radius 1 unit
- C the closed circular disc with centre at \((1,-1)\) and radius 1 unit
- D the closed circular dise with centre at \((-1,1)\) and radius 1 unit
Answer & Solution
Correct Answer
(A) the circle with centre at \((-1,1)\) and radius 1 unit
Step-by-step Solution
Detailed explanation
\(S=\{z \in C \| z+1-i \mid=1\} \Rightarrow|z+1-i|=1\) \(\Rightarrow|(x+1)+i(y-1)|=1 \Rightarrow(x+1)^2+(y-1)^2=1\) Which is circle with center at \((-1,1)\) and radius 1 unit.
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 \(\mathrm{f}: \mathbb{R} \rightarrow \mathbb{R}\) defined by
\(f(x)=\left\{\begin{array}{ll}\frac{\sin x-\sin \frac{x}{2}}{x}, & x < 0 \\ \frac{\sqrt{x^2+x}-\sqrt{x}}{x^{3 / 2}}, & x>0\end{array}\right.\) is continuous on \(\mathbb{R}\), then \(f(0)=\)AP EAMCET 2023 Medium - If \(x_1, x_2, \ldots x_n\) are ' \(n\) ' observations and \(x\) is their mean. If \(\sum_{i=1}^n\left(x_1-\bar{x}\right)^2\) is almost zero, then a true statement among the following isAP EAMCET 2023 Easy
- If the line joining the points \((k, 3,4),(4,7,8)\) is parallel to the line joining the points \((-1,-2,1),(1,2, l)\), then \(k+l=\)AP EAMCET 2020 Easy
- The angle between the tangents drawn from a point \((-3,2)\) to the ellipse \(4 x^2+9 y^2-36=0\) isAP EAMCET 2025 Medium
- If a polygon of \(n\) sides has 275 diagonals. then \(n\) isAP EAMCET 2024 Easy
- If the centroid of the triangle formed by the lines and is , then the value of equals_____AP EAMCET 2021 Hard
More PYQs from AP EAMCET
- The probability that an individual suffers a bad reaction from an injection is 0.001 . The probability that out of 2000 individuals exactly three will suffer bad reaction isAP EAMCET 2011 Easy
- If the line joining the points \(\hat{\mathbf{i}}+\hat{\mathbf{j}}\) and \(3 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) meets the plane that passes through the point \(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}\) and parallel to the vectors \(3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) and \(3 \hat{\mathbf{i}}-\hat{\mathbf{k}}\) at, \(P\), then the position vector of the point \(P\) isAP EAMCET 2018 Medium
- The maximum potential energy due to electrostatic repulsion between two hydrogen nuclei is nearly (radius of the nucleus
\[
=1.1 \text { fermi })\left[\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right]
\]AP EAMCET 2018 Easy - One of the rectangular components of a force of is . What is the other rectangular component?AP EAMCET 2021 Easy
- Let \(a, b\) and \(c\) be distinct and none of them is equal to 1 . If the lines \(x+a y+a=0\), \(b x+y+b=0\) and \(c x+c y+1=0\) are concurrent, then the value of \(\frac{a}{a-1}+\frac{b}{b-1}+\frac{c}{c-1}\) isAP EAMCET 2018 Medium
- Identify the name of the following reaction.
AP EAMCET 2016 Easy