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The condition that the roots of ax^(3)+b...

The condition that the roots of `ax^(3)+bx^(2)+cx+d =0` may be in G.P is

A

`a^(3)b = c^(3)d`

B

`ab^(3) = cd^(3)`

C

`c^(3)a = b^(3)d`

D

`ca^(3) = bd^(3)`

Text Solution

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The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. The third term of a G.P. is 4. The product of the first five terms is

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  2. If x, 2x + 2, 3x + 3,….are in G.P., then the fourth term is

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  3. The condition that the roots of ax^(3)+bx^(2)+cx+d =0 may be in G.P is

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  4. If a,a^(2)+2,a^(3)+10 be three consecutive terms of G.P., then the fou...

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  5. If x(1), x(2), x(3) and y(1), y(2), y(3) are both in G.P. with the sam...

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  6. If a, b, c be three successive terms of a G.P. with common ratio r and...

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  7. If (1 - k) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 - k^(6),...

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  8. The nth term of the series 3, sqrt(3), 1,… is (1)/(243), then n is

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  9. The first term of a G.P. whose second term is 2 and sum to infinity is...

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  10. The first and second terms of a G.P. are x^(-4) and x^(n) respectively...

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  11. If the pth, qth and rth terms of a G.P. be respectively , a,b and c th...

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  12. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

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  13. In a G.P., T(10) = 9 and T(4) = 4, then T(7) =

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  14. If (a^2+b^2+c^2) (b^2+c^2+d^2) <= (ab + bc +cd)^2 where a,b,c,d are no...

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  15. If a^(2) + 9b^(2) + 25c^(2) = abc ((15)/(a) + (5)/(b) + (3)/(c)), then...

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  16. If a(1),a(2),a(3), . . .,a(n) are non-zero real numbers such that (a...

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  17. alpha ,beta be the roots of the equation x^2 – 3x + a =0 and gamma , d...

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  18. If x, y, z be respectively the pthh, and rth terms of a G.P., then (q ...

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  19. If p, q, r are in A.P. and x, y, z in G.P., then x^(q-r) y^(r-p) z^(p ...

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

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