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Determinant Quiz-15

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 B is a non-singular matrix and A is a square matrix such that B-1AB exists, then det (B-1AB) is equal to
•  det(A-1)
•  det(B-1)
•  det(B)
•  det(A)
Solution
Q2.
•  1
• -1
•  0
•  -abc
Solution

Q3.
•  1
•  0
•  cosA.cosB.cosC
•  cosA + cosB.cosC
Solution
Q4.
•  1
•  sinÎ±.cosÎ±
•  0
•  sinx.cosx
Solution
Q5.  If a square matrix A is such that AAT=I=ATA then |A| is equal to
•   0
•  ±1
•  ±2
•  None of these
Solution
Q6. Let a,b,c be such that (b+c) ≠ 0 and
•  Zero
•  Any even integer
•  Any odd integer
•  Any integer
Solution
Q7.

•  80
•  100
• -100
•   92
Solution 7
Q8.

• 0
• 1
•  None of these
Solution
Q9.
• -1,-2
• -1, 2
•  1,-2
•  1, 2
Solution
Q10.  The value of determinant

•  0
•  1
•  Î±2-Î²2
•  Î±2+Î²2
Solution

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