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`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

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The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
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  2. If a(1),a(2),a(3), . . .,a(n) are non-zero real numbers such that (a...

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  6. The sum of first three terms of a G.P. is to the sum of the first six ...

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  7. A. G.P. consists of an even number of terms. If the sum of all the ...

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  8. A.G.P. consists of 2n terms. If the sum of the terms occupying the odd...

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  9. In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP wh...

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  10. If the sum of n terms of a G.P. is 3(3^(n+1))/(4^(2n)) , then find the...

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  11. Three numbers form an increasing G.P. If the middle number is doubled,...

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  12. Let f(x)=2x+1. Then the number of real number of real values of x for ...

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  13. If a, b and c be three distinct real number in G.P. and a + b + c = xb...

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  14. If a, b, c be in G.P., then the expression a^(2)b^(2)c^(2) ((1)/(a^(3)...

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  15. How many terms of the series 1, 4, 16,… must be taken to have their su...

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  19. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

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