## MATHEMATICS DETERMINANT QUIZ-8

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1.

•  25
•  24
•  23
•  21
Solution

Q2.

•  a,b,c, are in A.P.
•  a,b,c, are in G.P.
•  a,b,c, are in H.P.
•  Î± is a root of ax2+bx+c=0
Solution

Q3.

•  -4
•   0
•   1
•   4
Solution
No solution available

Q4. If a,b,c are non-zero real numbers, then the system of equations
(Î±+a)x+Î± y+Î± z=0
Î± x+(Î±+b)y+Î± z=0
Î± x+Î± y+(Î±+c)z=0
has a non-trivial solution, if
•  Î±-1= -(a-1+b-1+c-1)
•  Î±-1=a+b+c
•  Î±+a+b+c=1
•  None of these
Solution
No solution available

Q5.

•   1
•  -4
•   4
•   2
Solution

Q6.

•  8/3
•  2/3
•  1/3
•  16/3
Solution

Q7.

•   1/4
•   1/2
•   0
•  -1/2
Solution

Q8.

•  a
•  b
•  c
•  0
Solution
Since, for x=0, the determinant reduces to the determinant of a skew-symmetric matrix of odd order which is always zero. Hence, x=0 is the solution of the given equation.

Q9.The sum of the products of the elements of any row of a determinant A with the cofactors of the               corresponding elements is equal to
•  1
•  0
•  |A|
•  |A|/2
Solution
We know that the sum of the products of the elements of a row with the cofactors of the corresponding elements is always equal to the value of the determinant .i.e., |A|
Q10.

•  2
•  3
•  0
•  1
Solution

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