JEE-ADVANCED SERIES Mathematics
Determinants
7 previous year questions.
Volume: 7 Ques
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2010 Chapter Questions 7 MCQs
01
PYQ 2010
medium
mathematics ID: jee-adva
The number of matrices whose entries are either or and for which the system A has exactly two distinct solutions, is
1
0
2
3
168
4
2
02
PYQ 2012
medium
mathematics ID: jee-adva
Let be a matrix and let where for .If the determinant of is , then the determinant of the matrix is
1
2
3
4
03
PYQ 2013
medium
mathematics ID: jee-adva
For matrices and , which of the following statement(s) is/are not correct ?
1
is symmetric or skew-symmetric, according as is symmetric or skew-symmetric
2
is symmetric for all symmetric matrices and
3
is symmetric for all symmetric matrices and
4
= for all invertible matrices and
04
PYQ 2015
medium
mathematics ID: jee-adva
Which of the following values of satisfy the equation.
1
-4
2
9
3
-9
4
4
05
PYQ 2020
medium
mathematics ID: jee-adva
Let be the minimum possible value of , where are real numbers for which .Let be the maximum possible value of , where are positive real numbers for which .Then the value of is_______
06
PYQ 2022
medium
mathematics ID: jee-adva
Let denote the determinant of a square matrix Let be the function defined by
where
Let be a quadratic polynomial whose roots are the maximum and minimum values of the function , and Then, which of the following is/are TRUE?
1
2
3
4
07
PYQ 2022
medium
mathematics ID: jee-adva
Let denote the determinant of a square matrix . Let be the function defined by
where
Let be a quadratic polynomial whose roots are the maximum and minimum values of the function , and . Then, which of the following is/are TRUE?
where
Let be a quadratic polynomial whose roots are the maximum and minimum values of the function , and . Then, which of the following is/are TRUE?
1
2
3
4