Test: Engineering Mathematics - 2


20 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Test: Engineering Mathematics - 2


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Attempt Test: Engineering Mathematics - 2 | 20 questions in 60 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) 2023 Mock Test Series for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
QUESTION: 1

  and     then

Solution:
QUESTION: 2

If Area between the curves x = 2ay2 and  y = 2bx2 is 1 then, find ab?

Solution:
QUESTION: 3

For what value of k, the equation 

x+y+z=1

2x+ y+ 4z =k

4x+ y+ 10z k =2

Have a solution

Solution:
QUESTION: 4

  along the straight line from 

Solution:
QUESTION: 5

Consider the differential Equation    

Solution:
QUESTION: 6

It is given that  y'' + 2y' + y = 0 y(0) = 0 , y(1) = 0 y(0.5) is _______

Solution:
QUESTION: 7

Solution:
QUESTION: 8

If the function    is continuous at x = 0 then find f(0)?

Solution:
QUESTION: 9

Solution:
QUESTION: 10

For what value of k is the following function continuous  x = 0

Solution:
QUESTION: 11

If y = x |x|, then find Derivative of y?

Solution:
QUESTION: 12

and      find dy/dx

Solution:
QUESTION: 13

Solution:
QUESTION: 14

An insurance company insured 2000 cyclists, 4000 scooter drivers and 6000 motorbike drivers. The probability of an accident involving a cyclist, scooter driver and a motorbike driver are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?

Solution:
QUESTION: 15

In answering a question on a MCQ test with 4 choices per question, a student knows the answer, guesses or copies the answer. Let ½ be the probability that he knows the answer, ¼ be the probability that he guesses and ¼ that he copies it. Assuming that a student, who copies the answer, will be correct with the probability ¾, what is the probability that the student knows the answer, given that he answered it correctly?

Solution:
QUESTION: 16

The condition on “a” for which the system of equations

3x − y + 4z = 3, x + 2y − 3z = −2,6x + 5y + az = −3

has a unique solution is 

Solution:
QUESTION: 17

  then the eigen values of  A3 + 5A + 8I 
are 

Solution:
QUESTION: 18

The solution of 

Solution:
QUESTION: 19

The differential equation     given 
that x = 2 and 

Solution:
QUESTION: 20

The next iterative value of the root of x2 − 4 = 0 using the Newton-Raphson method, if the initial guess is 3, is _________

Solution:
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