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If a,b,c ,d and p are distinct real number such that `(a^2+b^2+c^2)p^2-2(ab+bc+cd)p+(b^2+c^2+d^2)le0` then a,b,c,d are in

A

AP

B

GP

C

HP

D

none of these

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The correct Answer is:
B
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  3. If a,b,c ,d and p are distinct real number such that (a^2+b^2+c^2)p^2-...

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  4. Suppose a,b,c are in A.P and a^2,b^2,c^2 are in G.P. If a lt b lt c an...

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  5. The value of 4^(1/3).4^(1/9).4^(1/27)....infty is.

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  6. If the sum of an infinite GP is 20 and sum of their square is 100 then...

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  7. If S=1+a+a^2+....... t o infty , then a=

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  9. If a,b,c in AP and x=sum(n=0)^inftya^n,y=sum(n-0)^inftyb^n,z=sum(n-0)^...

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  10. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

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  11. If the product of n positive number is unity, then their sum is

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  13. If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...

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  15. The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the...

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  16. Let S=8/5+16/65+......128/(2^18+1) then

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  17. The sum of the infinite terms of the series 5/(3^2. 7^2)+9/(7^2. 11^2)...

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  18. The sum to infinity of the series 1+2/3+6/3^2+10/3^3+14/3^4+....

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  19. The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is give...

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  20. For absx lt1 the value of 1+3x+6x^2+10x^3+.....t o infty is

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