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ISRO EXAM 2017 : Engineering Mathematics Quiz- 6

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Question 1

A point moving in the complex plane satisfies the following relation

, where z* stands for the complex conjugate of z.
The difference of the distances of the moving point from $Description: E:\Gate\isro-cs\ISRO_EC_2009_files\image044.png$ and $Description: E:\Gate\isro-cs\ISRO_EC_2009_files\image045.png$ is

Question 2

The area bounded by the curves y² = x, y = x is given by

Question 3

Consider the equation Re(1/z)=c, where z is a complex number, c is a nonzero constant and Re( ) represents the real part. The equation describes a

Question 4

, then the Laplacian of

Question 5

What does the following integral evaluate to?

Question 6

If A, B and C are vectors and A = l.u_x + 2.u_y + 3.u_z, B = l.u_x + l.u_y + l.u_z and C = 3.u_x + 2.Uy + l.u_z, then (A x B).C is:

Question 7

If α,β,γ are the roots of equations

, Then the value of tan^-1α + tan^-1β + tan^-1γ is

Question 8

If x and y are two random signals with zero mena Gaussina distribution having identical standard deviation, the phase angle between them is

Question 9

A man with n keys wants to open a lock. He tries his keys at random. The expected number of attempts for his success is (keys are replaced after every attempt)

Question 10

and

are in equilibrium, if

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ESE & GATE EC Engineering Mathematics

Jun 14ESE & GATE EC