TS EAMCET · Maths · Complex Number
The locus of \(z\) such that \(\left|\frac{z-i}{z+i}\right|=2\), where \(z=x+i y\), is
- A \(3 x^2+3 y^2+10 y+3=0\)
- B \(3 x^2-3 y^2-10 y-3=0\)
- C \(3 x^2+3 y^2+10 y-3=0\)
- D \(x^2+y^2-5 y+3=0\)
Answer & Solution
Correct Answer
(A) \(3 x^2+3 y^2+10 y+3=0\)
Step-by-step Solution
Detailed explanation
\(\left|\frac{z-i}{z+i}\right|=2\)…
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
- For the parabola \(y=x^2-3 x+2\), match the items in list-1 to that of the items in list-2. S is a focus, Z is intersection of axis and directrix, P is one end point of latus rectum, Q is the point on the parabola at which tangent is parallel to X -axis
List-1 List-2 A P I \((2,0)\) B Q II \(\left(\frac{3}{2},-\frac{1}{4}\right)\) C S III \(\left(\frac{3}{2}, 0\right)\) D Z IV \(\left(\frac{3}{2},-\frac{1}{2}\right)\) V \(\left(0, \frac{3}{2}\right)\) TS EAMCET 2025 Medium - For \(n \in \mathbf{N}\), If \(A_n=\cos \left(\frac{\pi}{2^n}\right)+i \sin \left(\frac{\pi}{2^n}\right)\), then \(\left(A_1 A_2 A_3 A_4\right)^4=\)TS EAMCET 2020 Easy
- The number of -digit odd numbers divisible by that can be formed using the digits when repetition is not allowed isTS EAMCET 2022 Medium
- \(\int_0^3\left|x^2-3 x+2\right| d x=\)TS EAMCET 2023 Medium
- If \(p\) and \(q\) are the real numbers such that the 7th term in the expansion of \(\left(\frac{5}{p^3}-\frac{3 q}{7}\right)^8\) is 700 then \(49 p^2=\)TS EAMCET 2024 Easy
- A plane \(x\) passes through the point \((1,1,1)\). If \(b, c, a\) are the direction ratios of a normal to the plane, where \(a, b, c(a < b < c)\) are the factors of 2001 , then the equation of the plane isTS EAMCET 2002 Medium
More PYQs from TS EAMCET
- Two blocks of equal masses are connected with a massless spring of spring constant \(2500 \mathrm{~N} / \mathrm{m}^2\) and length \(10 \mathrm{~cm}\) at rest on the frictionless horizontal plane. If a constant horizontal force \(10 \mathrm{~N}\) is applied as shown in the figure, find the maximum distance between the blocks.
TS EAMCET 2020 Hard - If the slope of a straight line passing through \(\mathrm{A}(3,2)\) is \(3 / 4\), then the coordinates of the two points on the same line that are 5 units away from \(A\) areTS EAMCET 2023 Easy
- Assertion (A) Cyclohexane is the most stable cycloalkane. Reason (R) Cyclopropane and cyclobutane are less stable due to angle strain and torsional strain. The correct answer isTS EAMCET 2011 Medium
- The number of ways of arranging the letters of the word LINEAR so that the letters \(\mathrm{N}\) and \(\mathrm{R}\) do not come together and \(\mathrm{E}\) and \(\mathrm{A}\) come together isTS EAMCET 2022 Medium
- Which one of the following is an isotonic pair of solutions?TS EAMCET 2013 Easy
- A wide cylindrical vessel 50 cm in height is filled with water and rests on a table. Assuming the viscosity to be negligible, find at what height from the bottom of the vessel a small hole should be made for the water jet coming out of it to hit the surface of the table at the maximum horizontal distance from the vessel.TS EAMCET 2022 Easy