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NDA || Mathematics || Algebra || Determinants || Quiz 2020

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Question 1

Question 2

Evaluate

Question 3

 then  is

Question 4

IF a + b + c = 0, then one of the solutions of is

Question 5

Which of the following are correct in respect of the system of equations and ?

1) They have no solution, if k = 15.

2) They have infinitely many solutions, if k = 20.

3) They have unique solution, if k = 25.

Select the correct answer using the code given below :

Question 6

Which one of the following factors does the expansion of the determinant contain?

Question 7

If and then what is the value of the determinant of ?

Question 8

Direction: Let , then

What is the value of c?

Question 9

Direction: Let , then
What is the value of ?

Question 10

For what value of x the given matrix A = is a singular matrix.
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May 29CDS & Defence