Home
Class 11
MATHS
Let the positive numbers a,b,c,d be in A...

Let the positive numbers a,b,c,d be in AP , Then abc, abd,acd,bcd are

A

Not in AP/GP/HP

B

in AP

C

in GP

D

in HP

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

If four positive numbers a, b, c and d are in A.P. then prove that abc, abd, acd and bcd are in H.P.

If three positive real numbers a,b ,c are in A.P such that a b c=4 , then the minimum value of b is a) 2^(1//3) b) 2^(2//3) c) 2^(1//2) d) 2^(3//23)

If three positive real number a,b,c are in AP with abc =4 , then the minimum value of b is

If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c are also in AP, then

Three positive numbers a,b,c are in A.P prove that 1/(sqrtb+sqrtc) , 1/(sqrtc+sqrta) and 1/(sqrta+sqrtb) are aslo in A.P

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

For three distinct positive numbers a, b, c with a + b + c = 1, show that 8abc le (2/3)^3 .

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P

Three positive numbers a, b, c are in A.P. Prove that (1)/(sqrt(b)+sqrt(c )), (1)/(sqrt(c )+sqrt(a)) , (1)/(sqrt(a) + sqrt(b)) are also in A.P.

If a,b,c be three positive numbers in A.P. and E=(a+8b)/(2b-a)+(8b+c)/(2b-c) , then a value of E can be

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. The value of a^(logb(x))=(where, a=0.2,b=sqrt5), x=(1/4+1/8+1/16+........

    Text Solution

    |

  2. If a,b,c are in HP and agtcgt0, then 1/(b-c)-1/(a-b).

    Text Solution

    |

  3. Let the positive numbers a,b,c,d be in AP , Then abc, abd,acd,bcd are

    Text Solution

    |

  4. If a,b,c are in HP , thn the value of (b+a)/(b-a)+(b+c)/(b-c) is

    Text Solution

    |

  5. If x1gt0,i=1,2.....50 and x1+x2+.....x50=50 then the minimum value of ...

    Text Solution

    |

  6. If three positive real number a,b,c are in AP with abc =4 , then the m...

    Text Solution

    |

  7. The sum of 10 terms of the series 0.7+.77+.777+.... is

    Text Solution

    |

  8. Find the sum of the series upto n terms 1.3.5+3.5.7+5.7.9+....

    Text Solution

    |

  9. Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2...

    Text Solution

    |

  10. If the sum to infinity to the series 1+4x+7x^2+10x^3+..... is 35/16 th...

    Text Solution

    |

  11. Consider an AP with first term a and the common difference 'd' Let Sk...

    Text Solution

    |

  12. If p,q,r are three positive real number are in AP , then the roots of ...

    Text Solution

    |

  13. The solution of the equation (8)^((1+[cosx absdivcos^2xabsdiv cos^3x]d...

    Text Solution

    |

  14. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

    Text Solution

    |

  15. If angt1 for all ninN,then log(a2)a1+log(a3)a2+.....+log(an)a(n-1)+log...

    Text Solution

    |

  16. Let Sk=underset(nrarrinfty)limsum(i=0)^n1/(k+1)^i. Then sum(k=1)^nkSk...

    Text Solution

    |

  17. If a1,a2,a3...an are in HP and f(k)=sum(r=1)^nar-ak, then a1/(f(1)),a...

    Text Solution

    |

  18. sum(r=1)^nr^2-sum(m=1)^nsum(r=1)^mr is equal to

    Text Solution

    |

  19. The sum of the integer from 1 to 100 which is not divisible by 3 or 5 ...

    Text Solution

    |

  20. If ab^2c^3,a^2b^3c^4,a^3b^4c^5 are in AP (a,b,cgt0) thgen the minimum...

    Text Solution

    |