Sail through JEE 2020:Determinants

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Question 1

If D = for x ≠ 0, y ≠ 0 then D is

• Adivisible by x but not y
• Bdivisible by y but not x
• Cdivisible by neither x nor y
• Ddivisible by both x and y

Question 2

Co-factors of element of the second row of the determinant are-

• A39, 3, 11
• B–39, 3, 11
• C39, –3, 11
• D39, 3, –11

Question 3

If B is a 3×3 matrix such that B²=0 then determinant |(I+B)⁵⁰ - 50B| is equal to

• A1
• B2
• C3
• D50

Question 4

The least value of the product xyz for which the determinant is non-negative is:

• A-2√2
• B-16√2
• C-8
• D-1

Question 5

,
then is equal to:

• A
• B
• C
• D

Question 6

If A is 3x3 matrix. Given that det(A)=6. Find the det(adj(A)).

• A1/36
• B6
• C1/6
• D36

Question 7

If find if

• A
• B
• C
• D

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