TS EAMCET · Maths · Complex Number
If \(z=x+i y\), then the centre of the circle \(\left|\frac{z-3}{z-2 i}\right|=2\), is
- A \(\left(-1,-\frac{8}{3}\right)\)
- B \(\left(1, \frac{8}{3}\right)\)
- C \(\left(-1, \frac{8}{3}\right)\)
- D \(\left(1,-\frac{8}{3}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(-1, \frac{8}{3}\right)\)
Step-by-step Solution
Detailed explanation
We have, \[ z=x+i y \] Given, \(\left|\frac{z-3}{z-2 i}\right|=2\)…
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 \(m\) and \(n\) are respectively the order and degree of the differential equation of the family of parabolas with origin as its focus and X-axis as its axis, then \(m n-m+n=\)TS EAMCET 2023 Medium
- Let be the position vector of a point . Let be a point on the line which is passing through and parallel to the vector . If , then the position vector of isTS EAMCET 2018 Easy
- If the vectors \(\overline{B C}=2 \bar{i}+\bar{j}+\bar{k}\) and \(\overline{C D}=\bar{i}+2 \bar{j}-2 \bar{k}\) represent two adjacent sides of a parallelogram \(\mathrm{ABCD}\) and \(\theta\) is the angle between its diagonals \(\overline{A C}\) and \(\overline{B D}\) then \(\tan \theta=\)TS EAMCET 2023 Medium
- In a \(\triangle A B C, C=90^{\circ}\). Then, \(\frac{a^2-b^2}{a^2+b^2}\) is equal toTS EAMCET 2010 Hard
- Let Q be the image of a point \(\mathrm{P}(1,2)\) with respect to the line \(x+y+1=0\) and R be the image of Q with respect to the line \(x-y-1=0\). If M and N are the midpoints of PQ and QR respectively, then \(\mathrm{MN}=\)TS EAMCET 2025 Medium
- If \(\sinh x=-\frac{4}{3}\) then \(\sinh 2 x+\cosh 2 x=\)TS EAMCET 2023 Hard
More PYQs from TS EAMCET
- Two solid spheres \(A\) and \(B\) made of the same material have radii \(r_A\) and \(r_B\) respectively. Both the spheres are cooled from the same temperature under the conditions valid for Newton's law of cooling. The ratio of the rate of change of temperature of \(A\) and \(B\) is :TS EAMCET 2006 Medium
- The number of natural numbers less than 1000 , in which no two digits are repeated, is :TS EAMCET 2006 Medium
- \(\int_0^{\frac{\pi}{2}} \frac{x \tan x \sec ^2}{\tan ^4 x+1} d x=\)TS EAMCET 2023 Medium
- A pair of perpendicular lines passes through the origin and also through the points of intersection of the curve \(x^2+y^2=4\) with \(x+y=a\), where \(a>0\). Then \(a\) is equal toTS EAMCET 2010 Hard
- When compared with alkaline earth metals, the alkali metals haveTS EAMCET 2023 Medium
- Consider the given sequence of reactions.
\(\mathrm{C}_2 \mathrm{H}_6+\frac{3}{2} \mathrm{O}_2 \xrightarrow[\Delta]{\left(\mathrm{CH}_3 \mathrm{COO}\right)_2 \mathrm{Mn}} \mathrm{X} \xrightarrow{\mathrm{Na}} \mathrm{Y}\)
Electrolysis of aqueous solution of Y gives gases P and Q at anode. P and Q are respectively.TS EAMCET 2025 Medium