Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the maximum and minimum values of the determinant
are 
and 
respectively, then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
5
Given determinant is
Applying the operation C 1 
C 1 + C 2 , we get
Applying the operations R 2 
R 2 - R 1 and then R 3 
R 3 – R 1 , we get
Now, expanding the above determinant along R 2 , we get
= -0 + (2 + sin 2x) - 0 = 2 + sin 2x
Since, the maximum value of sin2x is 1 and minimum value of sin2x is -1.
Therefore, 
= maximum value of 
= 2 + l = 3 and 
= minimum value of 
= 2 - 1 = 1.
= 3 and 
= 1
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