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Given that `alpha,gamma` are roots of the equation `A x^2-4x+1=0,a n dbeta,delta` the roots of the equation of `B x^2-6x+1=0,` such that `alpha,beta,gamma,a n ddelta` are in H.P., then

A

3,8

B

-3,-8

C

3,-8

D

-3,8.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
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  2. The harmonic mean of two numbers is 21.6. If one of the numbers is 27,...

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  3. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

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  4. Consider an infinite geometric series with first term a and common rat...

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  5. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

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  6. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

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  7. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...

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  8. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

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  9. Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc an...

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  10. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  11. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

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  12. If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...

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  13. Let Tr be the rth term of an A.P. whose first term is a and common dif...

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  14. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

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  15. If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...

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  16. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

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  17. The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...

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  18. Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......

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  19. If a geometric progression consisting of positive terms, each term equ...

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  20. The first two terms of a geometric progression add upto 12 the sum of ...

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