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If a,b,c,d are distinct positive numbers...

If a,b,c,d are distinct positive numbers in AP, then

A

`adltbc`

B

`a+clt b+d`

C

`a+d=b+c`

D

`(a+1)(d+1)lt(b+1)(cx+1)`

Text Solution

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The correct Answer is:
1,3&4
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. The value of x for which 1/(1+sqrtx),1/(1-x),1/(1-sqrtx) are in AP li...

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  2. If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c ar...

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  3. If a,b,c,d are distinct positive numbers in AP, then

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  4. If sum(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2+dn+e, then

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  5. The pth term Tp of HP is q(p+q) and qth term Tq is p(p+q) when pgt1,qg...

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  6. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

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  7. A geometric progression of real number is such that the sum of its fir...

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  8. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

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  9. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

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  10. Which one of the following statements is correct ?

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  11. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

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  12. Which one of the following statements is correct ?

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  13. The sum V1+V2+.....Vn is

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  14. Tr is always

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  15. Which one of the following statements is correct ?

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  16. Match List-I with List-II

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  17. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2 , h1,...

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  18. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

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  19. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

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  20. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

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