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BARC19 Engineering Mathematics Nuclear Quiz 2

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Question 1

Expressing the complex no. 2 + 5i in polar form, determine the approximate value of angle θ.

Question 2

Determine the diagonalized matrix, for the given 2×2 real symmetric matrix.
A =

Question 3

Two matrices A and B have similar eigen values and are said to be similar, if there exists a non-singular matrix P. Such that,

Question 4

The area of the region bounded by the curve Y = |X-1| and Y = 3 - |X| is

Question 5

Taking for granted the general solution of

is of the form

for appropriate constants A and B, the value of y(2), where y is the solution that also satisfies

is _______.

Question 6

If A and B are square matrices of size n × n such that A² – B² = (A – B) (A + B), then which of the following will always be true?

Question 7

The value of $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image055.png$ for which the different eqution, $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image056.png$ is exact will be ____________.

Question 8

The partial differential equation $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2007_files\image007.png$ has

Question 9

Three vendors were asked to supply a very high precision component. The respective probabilities or their meetin2 the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component the probability that out of total three components supplied by the vendors, at least one will meet the design specification is ________

Question 10

If A is any matrix, then AA^T and A^TA are defined by which of these statements.

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ESE & GATE CE Engineering Mathematics

Apr 22ESE & GATE CE