Description

This mock test of Test for Engineering helps you for every Engineering entrance exam.
This contains 15 Multiple Choice Questions for Engineering Test (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test quiz give you a good mix of easy questions and tough questions. Engineering
students definitely take this Test exercise for a better result in the exam. You can find other Test extra questions,
long questions & short questions for Engineering on EduRev as well by searching above.

QUESTION: 1

If f(z) is analytic at a point z_{0}, then the mapping w=f(z) is conformal at z_{0}

Solution:

QUESTION: 2

The mapping w = z^{2} + 1 is not conformal at z = -i / 2.

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QUESTION: 3

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QUESTION: 4

The linear fractional transformation T(z) = (z-i) / (z+1) maps the points

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QUESTION: 5

A linear fractional transformation is conformal at every point in its

Solution:

QUESTION: 6

The conformal mapping preserves both the magnitude and the ___ of an angle.

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QUESTION: 7

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QUESTION: 8

If a complex function f is differentiable at point z, then f is

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QUESTION: 9

The function f(z) = z^{2} + z^{-1} is

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QUESTION: 10

The function f(z) = cos y - i sin y is

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QUESTION: 11

The function f(z) is analytic in a domain D and f(z) = c + i v(x,y), where c is a real constant. Then f is a _____ in D.

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QUESTION: 12

The function f(z) = (2-x)^{3} +i (y-1)^{3} is differentiable at z =

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QUESTION: 13

If the Cauchy-Riemann equations are true, then the derivative of f(*z*) is _____.

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QUESTION: 14

What is the value of the integer n if x^{n}-y^{n} is harmonic?

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QUESTION: 15

Find the harmonic conjugate of e^{x} cos y + e^{y} cos x + xy.

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