Home
Class 12
MATHS
The value of xyz is 55 or (343)/(55) acc...

The value of xyz is 55 or `(343)/(55)` according as the series `a,x,y,z,b` is an AP or HP. Find the alues of a and b given that they are positive integers.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -1 Objective Problems /JEE Main Section -A : AP|24 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -2 (Level -I) Objective Problems /JEE Main AP|23 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

The values of xyz is (15)/(2) or (18)/(5) according as the series a,x,y,z,b is an AP or HP. Find the values of a&b assuming them to be positive integer.

The value of xyz is 55 or 343/55 according as the sequence a,x,y,z,b is an H.P or A.P Find the sum (a+b) given that a and b are positive integers

The value of x+y+z is 15 if a,x,y,z,b are in AP while 1/x+1/y+1/z is 5/3 if a,x,y,z,b are in HP ,then the value of a is

If a, x, y, z, b are in A.P., then value of xyz is 35/3 and if a, x, y, z, b are in H.P., then value of xyz is 75/7, where a and b are given positive integers. Then value of (ab) is

If a^(x)=b,b^(y)=c,c^(z)=a, then find the value of xyz.

If three positive numbers a,b and c are in AP, GP and HP as well, than find their values.

If a^(x)=b,b^(y)=c and c^(z)=a then find the value of xyz

MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. The value of xyz is 55 or (343)/(55) according as the series a,x,y,z,b...

    Text Solution

    |

  2. Let Vr denote the sum of first r terms of an arithmetic progression (A...

    Text Solution

    |

  3. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  4. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  5. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  6. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  7. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  8. A straight line through the vertex P of a triangle PQR intersects the ...

    Text Solution

    |

  9. Suppose four distinct positive numbers a1,a2,a3,a4 are in G.P. Let b1=...

    Text Solution

    |

  10. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

    Text Solution

    |

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

    Text Solution

    |

  12. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

    Text Solution

    |

  13. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |

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

    Text Solution

    |

  15. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |

  16. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  17. Let an denote the number of all n-digit positive integers formed by th...

    Text Solution

    |

  18. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2). Then S(n) can take value...

    Text Solution

    |

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

    Text Solution

    |

  20. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

    Text Solution

    |

  21. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |