JEE Main 2014 — Matrices Question with Solution
JEE Main 2014 (11 Apr Online)
Question
Let for be a polynomial of degree 2 in and be the first and second order derivatives of respectively. Let,
and . Then determinant of :
Choose an option
Show full solutionCorrect option: A
Correct answer
Ais a polynomial of degree 6 in .
Step-by-step explanation
Let
and
where are real numbers.
It is clear from the above multiplication, the degree of determinant of can not be less than 4 .
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This is a previous-year question from JEE Main 2014, covering the Matrices chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.