Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Tests  >  GATE ECE (Electronics) 2024 Mock Test Series  >  Test: Enginering Mathematics - 1 - Electronics and Communication Engineering (ECE) MCQ

Test: Enginering Mathematics - 1 - Electronics and Communication Engineering (ECE) MCQ


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15 Questions MCQ Test GATE ECE (Electronics) 2024 Mock Test Series - Test: Enginering Mathematics - 1

Test: Enginering Mathematics - 1 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) 2024 Mock Test Series preparation. The Test: Enginering Mathematics - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Enginering Mathematics - 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Enginering Mathematics - 1 below.
Solutions of Test: Enginering Mathematics - 1 questions in English are available as part of our GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) & Test: Enginering Mathematics - 1 solutions in Hindi for GATE ECE (Electronics) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: Enginering Mathematics - 1 | 15 questions in 45 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) 2024 Mock Test Series for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
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Test: Enginering Mathematics - 1 - Question 1

Detailed Solution for Test: Enginering Mathematics - 1 - Question 1

Test: Enginering Mathematics - 1 - Question 2

Test: Enginering Mathematics - 1 - Question 3

The order of differential equation 

Test: Enginering Mathematics - 1 - Question 4

The order of differential equation  

Test: Enginering Mathematics - 1 - Question 5

Find the rank of matrix 

Test: Enginering Mathematics - 1 - Question 6

The rank of Diag matrix  [− 1 0 1 0 0 4] is ________

Test: Enginering Mathematics - 1 - Question 7

  the third row of R-1 is 

Test: Enginering Mathematics - 1 - Question 8

For what value of k will the matrix given below become singular 

is ___________

Detailed Solution for Test: Enginering Mathematics - 1 - Question 8

Correct Answer :- B

Explanation:- If the matrix is singular, its determinant has to be zero.

[8(0-12) -4(4k-24) +0(24-0)] = 0

-96 -16k +96 = 0

-16k = 0

k = 0

 

 

Test: Enginering Mathematics - 1 - Question 9

The Eigen values of the matrix 

Test: Enginering Mathematics - 1 - Question 10

Test: Enginering Mathematics - 1 - Question 11

Test: Enginering Mathematics - 1 - Question 12

   then find 

Test: Enginering Mathematics - 1 - Question 13

 Given system of linear equations

3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0, has 

Test: Enginering Mathematics - 1 - Question 14

Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A|B) is:

Test: Enginering Mathematics - 1 - Question 15

The Newton-Raphson method formula for finding the square root of a real number R from the equation x2 − R = 0 is

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