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Let f(a,b)=|{:(a,a^2,0),(1,(2a+b),(a+b)^...

Let `f(a,b)=|{:(a,a^2,0),(1,(2a+b),(a+b)^2),(0,1,(2a+3b)):}|`, then

A

(2a+b) is a factor of f(a,b)

B

(a+2b) is a factor of f(a,b)

C

(a+b) is a factor of f(a,b)

D

a is factor of f (a,b)

Text Solution

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The correct Answer is:
B, C, D
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Knowledge Check

  • Let Delta=|(a,a^(2),0),(1,2a+b,(a+b)^(2)),(0,1,2a+3b)| then

    A
    `a + b` is a factor of `Delta`
    B
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    C
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    D
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  • Let A = [{:(2, b,1),(b, b^(2)+1,b),(1, b,2):}], " where "b gt 0 . Then, the maximum value of ("det"(A))/(b) is

    A
    `-sqrt(3)`
    B
    `2-sqrt(3)`
    C
    `2sqrt(3)`
    D
    `sqrt(3)`

  • Let A={:((1,2),(3,4):}) and B={:((a,0),(0,b)):} , where a,b in N , then

    A
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    B
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    C
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    D
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