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GATE 2019: Engineering Mathematics Rapid Revision Quiz (App update required to attempt this test)

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Question 1

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

Question 2

The events A1 and A2 occur with probabilities 0.6 and 0.8 respectively. At least one of them occurs with a probability of 0.9. The probability that both A1 and A2 will occur is ____.

Question 3

Find the solution for multiplication of two complex no. of the form a+ib and c+id. Take a = 2, b = 3, c = 4 and d = 5.

Question 4

 Find the value         ,where ‘C’ is the circle |z| = 3 is  equal to;

Question 5

Consider a signal x (t) given by , then x(t) is given by

Question 6

The solution to the differential equation where k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U. is

Question 7

Estimate the root of the equation Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image155.png to four decimal accuracy by employing the Newton-Raphson method starting with an initial guess of x0 = 0.

Question 8

Newton-Raphson method is used to find the roots of the equation. . If the initial guess is , then the value of x after iteration is ____

Question 9

If is the solution of the differential equation then is ____.

Question 10

The value of along a closed path is equal to where The correct path is

Question 11

A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ______.

Question 12

The maximum of the three eigen values for the matrix given below is ________
Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image125.png

Question 13

Consider the differential equation Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image078.png The general solution with constant c is

Question 14


The volume of an object expressed in spherical co-ordinates is given by ;
 


The value of the integral is

Question 15

The integral Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-1_files\image063.png is evaluated along the circle Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-1_files\image064.png traversed in counter clockwise direction. The integral is equal to
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