Home
Class 12
MATHS
Let the positive numbers a ,b ,ca d nd b...

Let the positive numbers `a ,b ,ca d nd` be in the A.P. Then `a b c ,a b d ,a c d ,a n db c d` are a. not in A.P. /G.P./H.P. b. in A.P. c. in G.P. d. in H.P.

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

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a ,b ,c ,d are in G.P., prove that a+b,b+c ,c+d are also in G.P.

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a, b, c, d are distinct positive numbers in A.P., then:

If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b are: in A.P. b. in G.P. c. in H.P. d. none of these

If a,b,c are in A.P. as well as in G.P. then

VMC MODULES ENGLISH-SEQUENCE AND SERIES -JEE MAIN & Advance ( ARCHIVE)
  1. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  2. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  3. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

    Text Solution

    |

  4. Let a1,a2,a3,... be in harmonic progression with a1=5a n da(20)=25. Th...

    Text Solution

    |

  5. Let the positive numbers a ,b ,ca d nd be in the A.P. Then a b c ,a b ...

    Text Solution

    |

  6. If m is the A.M of two distict real numbers l and n (l, n gt 1)and G1,...

    Text Solution

    |

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

    Text Solution

    |

  8. If alpha in (0,pi/2),t h e nsqrt(x^2+x)+(tan^2alpha)/(sqrt(x^2+x)) is ...

    Text Solution

    |

  9. If a1,a2,a3,....an are positive real numbers whose product is a fixed ...

    Text Solution

    |

  10. If a ,b ,c ,d are positive real umbers such that a=b+c+d=2,t h e nM=(a...

    Text Solution

    |

  11. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  12. A pack contains n cards numbered from 1 to n . Two consecutive numbere...

    Text Solution

    |

  13. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  14. Let (a1,a2,a3….,a11) be real numbers satsfying a1=15,27-2a2 gt 0 and ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

  17. Let x be the arithmetic mean and y ,z be tow geometric means between a...

    Text Solution

    |

  18. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

  19. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

    Text Solution

    |

  20. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |