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If a ,b ,a n dc are in G.P., then the eq...

If `a ,b ,a n dc` are in G.P., then the equations `a x^2+2b x+c=0a n ddx^2+2e x+f=0` have a common root if `d/c , e/b ,f/c` are in a. A.P. b. G.P. c. H.P. d. none of these

A

d, e, f are in A.P

B

`(d)/(a), (e)/(b), (f)/(c)` are in G.P.

C

`(d)/(a), (e)/(b), (f)/(c)` are in A.P

D

d,e,f are in G.P.

Text Solution

Verified by Experts

The correct Answer is:
C
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ALLEN-SEQUENCE AND PROGRESSION-Exercise (JM)
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  3. If the sum of the first ten terms of the series (1(3)/(5))^(2)+(2(2)/(...

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  4. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

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  5. For any three positve real numbers a,b and c, 9(25a ^+b^2)+25(c^2-3ac)...

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  9. If a,b and c be three distinct real numbers in G.P and a+b+c=xb, then ...

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  10. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

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  11. Find sun of first 15 term of series 1+6+(9(1^2+2^2+3^2))/(7)+(12(1^2+...

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  12. If x and y are positive real numbers and m, n are any positive integ...

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  15. If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^...

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  16. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

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  17. The sum (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) ...

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  18. Let numbers a(1),a(2)…a(16) are in AP and a(1)+a(4)+a(7)+a(10)+a(13)+a...

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  19. If alpha and beta are the roots of the equation 375 x^(2) - 25x - 2 = ...

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  20. If alpha, beta and gamma are three consecutive terms of a non-consta...

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