## MATHEMATICS DETERMINANT QUIZ-9

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. If A is a 3×3 non-singular matrix, then det (A-1adj A) is equal to
•  det A
•  1
•  (det A)2
•  (det A)-1
Solution

Q2.

•  1+abc=0
•  a+b+c+1=0
•  (a-b)(b-c)(c-a)=0
•  None of these
Solution

Q3.

•  Divisible by neither x nory
•  Divisible by both x andy
•  Divisible by x but noty
•  Divisible by y but not x
Solution

Q4.

•  ∆1/∆3 and ∆2/∆3
•  ∆2/∆1 and ∆3/∆1
•  log (∆1/∆3) and log (∆2/∆3)
•  e(∆1/∆3) and e(∆2/∆3 )
Solution

Q5.

•  Ï€/6
•  Ï€/4
•  Ï€/3
•  Ï€/2
Solution
No solution available.

Q6. Consider the system of equations
a1x + b1y + c1z=0
a2x + b2y + c2z=0
a3x + b3y + c3z=0
•  More than two solutions
•  One trivial and one non-trivial solutions
•  No solution
•  Only trivial solution (0,0,0)
Solution
No solution available

Q7.If A is an invertible matrix, then det⁡(A-1) is equal to
•   det⁡(A)
•  1/det⁡(A)
•  1
•  None of these
Solution

Q8.

•  1
•  Ï‰
•  Ï‰2
•  0
Solution

Q9.

•  x=0
•  x=a
•  x= 1/3(a+b+c)
•  x=a+b+c
Solution

Q10.

•  (x3+y3)2
•  (x2+y2)3
•  -(x2+y2)3
•  -(x3+y3)2
Solution

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