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alpha ,beta be the roots of the equation...

`alpha ,beta` be the roots of the equation `x^2 – 3x + a =0` and `gamma , delta` the roots of `x^2 – 12x + b =0` and numbers `alpha,beta,gamma,delta` (in this order) form an increasing G.P., then

A

a = 3, b = 12

B

a = 12, b = 3

C

a = 2, b = 32

D

a = 4, b = 16

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • alpha, beta be the roots of x^(2)-3x+a=0 and gamma, delta be the roots of x^(2)-12x+b=0 and numbers alpha,beta, gamma, delta (in order) form an increasing G.P. then

    A
    `a=3,b=12`
    B
    `a=12,b=3`
    C
    `a=2,b=32`
    D
    `a=4,b=16`

  • Let alpha, beta be the roots of the equation x^(2)-3x+p=0 and" let "gamma, delta be the roots of the equation x^(2)-12x+q=0 . If the numbers alpha, beta, gamma (in order) form an increasing G.P. then

    A
    p=2, q=16
    B
    p=4, q=16
    C
    p=2, q=32
    D
    p=4, q=32

  • alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma and delta are the roots of the equation x^(2)-12x+b=0 .If alpha,beta,gamma, and delta form an increasing GP., then (a,b)-

    A
    (3,12)
    B
    (12,3)
    C
    (2,32)
    D
    (4,16)

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