Question:
Match List I with List II LIST I LIST II A. \(f(z)=z^3\) I. Not analytic any where B. \(f(z)=\frac{1}{z}\) II. Analytic at Z = 0 only C. \(f(z)=\bar z\) III. Analytic everywhere D. \(f(z)=z\bar z\) IV. Not analytic at Z = 0
Choose the correct answer from the options given below:
Match List I with List II
| LIST I | LIST II | ||
| A. | \(f(z)=z^3\) | I. | Not analytic any where |
| B. | \(f(z)=\frac{1}{z}\) | II. | Analytic at Z = 0 only |
| C. | \(f(z)=\bar z\) | III. | Analytic everywhere |
| D. | \(f(z)=z\bar z\) | IV. | Not analytic at Z = 0 |
Choose the correct answer from the options given below:
Updated On: Mar 21, 2024
- A I, B II, C III, D IV
- A II, B I, C IV, D III
- A III, B IV, C I, D II
- A IV, B III, C II, D I
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C)A III, B IV, C I, D II:
Was this answer helpful?
0
0
Top Questions on Analytic functions
- Let f(z) be an analytic function, where z = x + iy. If the real part of f(z) is cosh x cos y, and the imaginary part of f(z) is zero for y = 0, then f(z) is
- GATE Metallurgy - 2024
- Engineering Mathematics
- Analytic functions
- If\(ƒ(x + iy) = x^3 − 3.xy^2 + ¡\Psi(x,y) \space where \space i= \sqrt{-1}\) and ƒ (x+iy) is an analytic function, then \(\Psi (x, y)\) is:
- CUET (PG) - 2023
- Mathematics
- Analytic functions
- Given below are two statements
Statement I: If f(z) = u + iv is an analytic function, then u and v are both harmonic function.
Statement II: If f (z) is analytic within and on a closed curve C, and if a is any point within C, then \(f(a)=\frac{1}{2πi}\int_c\frac{f(z)}{z-a}dz\)
In the light of the above statements, choose the most appropriate answer from the options given below- CUET (PG) - 2023
- Mathematics
- Analytic functions
- If \(u = x^2 - y^2\) is real part of an analytic function f(z), then f(z) is:
- CUET (PG) - 2023
- Mathematics
- Analytic functions
Questions Asked in CUET PG exam
- Find out the degree of the differential equation \(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
- CUET (PG) - 2023
- Differential Equations
- The surface area of the sphere x2 + y2 + z2 = 9 lying inside the cylinder x2 + y2 = 3y is
- CUET (PG) - 2023
- Surface Area of Cube, Cuboid and Cylinder
- The Ombudsman in a newspaper organisation represents the point of view of the ___.
- CUET (PG) - 2023
- Journalism
- The orthogonal trajectories of the family of curves y = \(ax^3\) is
- The minimum distance of the point (3, 4, 12) from the sphere x2 + y2 + z2 = 1 is
- CUET (PG) - 2023
- Coordinate Geometry
View More Questions