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Find the value of a,b and c from the fol...

Find the value of a,b and c from the following equations,
`[[a-b,2a+c],[2a-b,3c+d]]=[[-1,5],[0,13]]`

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Knowledge Check

  • If int_(a)^(b)x^(3)dx=0andint_(a)^(b)x^(2)dx=(2)/(3) , then the values of a and b are respectively a)1,-1 b) -1,1 c)1,1 d) -1,-1

    A
    1,-1
    B
    `-1,1`
    C
    1,1
    D
    `-1,-1`

  • Consider the following two binary relations on the set A= {a,b,c}: R _(1) = {(c,a), ( b,b) , ( a,c), ( c,c) ,(b,c),(a,a)} and R _(2) = { (a,b) , (b ,a) ,(c,c) (c,a) ,(a,a),(b,b),(a,c)} Then

    A
    both `R _(1) and R _(2)` are transitive
    B
    `R _(2)` is symmetric but it is not transitive
    C
    both `R _(1) and R _(2)` are not stmmetric
    D
    `R _(1)` is not symmetric but it is transitive

  • If a, b and c are positive numbers such that a gt b gt c and the equation (a+-2c) x^(2) + (b+c- 2a) x+(c+a -2b)=0 has a root in the interval (-1, 0) then

    A
    b cannot be the G.M of a,c
    B
    b may be the G.M of a,c
    C
    b is the G.M of a,c
    D
    None of these

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