## MATHEMATICS DETERMINANT QUIZ-2

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.
•  5(√6-5)
•  5√3 (√6-5)
•  √5 (√6-√3 )
•  √2 (√7-√5 )
Solution

Q2. The value of the determinant :
•  Independent of Î±
•  Independent of Î²
•  Independent of Î± and Î²
•  None of these
Solution

Q3.  In a third order determinant, each element of the first column consists of sum of two terms, each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms. Then, it can be decomposed into n determinant, where n has value
•   1
•  9
•  16
•  24
Solution

Since, the first column consists of sum of two terms, second column consists of sum of three terms and

third column consists of sum four terms.

∴n=2×3×4=24

Q4.

•  1
•  3
•  4
•  2
Solution

On comparing with kxyz, we get k=4

Q5.

•  x=5
•  x=0
•  x has no real value
•  None of these

Q6.
•  Depends upon the function f(x)
•  is 4
•  is -4
•  is zero
Solution

Q7.

•  a
•  b
•  0
•  1
Solution

On expanding the given determinant, we obtain 2x3+2x(ac-ab-bc)=0⇒x=0

Q8.
•  0
•  1
•  (n(n+1)(2n+1))/6
•  None of these
Solution

Q9.
•  (x+p)(x+q)(x-p-q)
•  (x-p)(x-q)(x+p+q)
•  (x-p)(x-q)(x-p-q)
•  (x+p)(x+q)(x+p+q)
Solution

Q10.
•  2 (10!11!)
•  2 (10!13!)
•  2 (10!11!12!)
•  2 (11! 12! 13!)
Solution

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