Home
Class 12
MATHS
Let alpha and beta be two number where a...

Let `alpha` and `beta` be two number where `alpha lt beta` The geometric mean of these numbers exceeds the smaller `alpha` by 12 and the arithmetic mean of the same number is smaller by 24 than the larger number `beta` , then the value of `|beta-alpha|` is

Text Solution

Verified by Experts

The correct Answer is:
48
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 26

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 4

    NTA MOCK TESTS|Exercise MATHEMETIC - SUBJECTIVE NUMERICAL|5 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta be two number where alpha

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by 2 and the harmonic mean is one - fifth of the greater of a and b, such that alpha=a+b and beta=|a-b| , then the value of alpha+beta^(2) is equal to

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by (3)/(2) and the geometric mean exceeds their harmonic mean by (6)/(5) . If a+b=alpha and |a-b|=beta, then the value of (10beta)/(alpha) is equal to

The harmonic mean of two positive numbers a and b is 4, their arithmetic mean is A and the geometric mean is G. If 2A+G^(2)=27, a+b=alpha and |a-b|=beta , then the value of (alpha)/(beta) is equal to

If sin beta is the geometric mean between sin alpha and cos alpha then cos2 beta=

If sin beta is geometric mean between sin alpha and cos alpha, then cos2 beta=

If cos alpha=tan beta and cos beta=tan alpha where alpha and beta are acute angles then sin alpha

If alpha and beta are the roots of the equation x^(2)+alpha x+beta=0 such that alpha ne beta , then the number of integral values of x satisfying ||x-beta|-alpha|lt1 is

If sin2 beta is the geometric mean between sin alpha and cos alpha, then cos4 beta is equal to

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

NTA MOCK TESTS-JEE MOCK TEST 3-MATHEMATICS
  1. Minimum distance between the curves y^(2) =x-1 and x^(2) = y -1 is equ...

    Text Solution

    |

  2. The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x]))dx equals to ([x] i...

    Text Solution

    |

  3. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  4. If f (x+y, x-y) = xy, then the arithmetic mean of f(x,y) and f(y, x) i...

    Text Solution

    |

  5. Find the real values of x and y satisfying the equation : ((1+i)x-2i)/...

    Text Solution

    |

  6. Tangent to a curve intercepts the y-axis at a point P. A line perpendi...

    Text Solution

    |

  7. If m is a positive integer and Deltar = |(2r-1, m(Cr), 1), (m^2-1, 2^...

    Text Solution

    |

  8. If alpha = sin^(-1)(sqrt(3)/(2)) + sin^(-1)(1/3) , beta =cos^(-1)(sqrt...

    Text Solution

    |

  9. The logically equivalent proposition of p harr q is

    Text Solution

    |

  10. If log(10)((x^(3) - y^(3))/ (x^(3)+y^(3))) = 2, then (dy)/(dx)=

    Text Solution

    |

  11. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  12. For real x, the function [(x-a)(x-b)]/(x-c) will assume all real value...

    Text Solution

    |

  13. OPQR is a square and M ,N are the middle points of the sides PQ and QR...

    Text Solution

    |

  14. int(sin^4x)/(cos^8x)dx

    Text Solution

    |

  15. If x=3 is the chord of the contact of the circle x^2 + y^2 = 81, then ...

    Text Solution

    |

  16. The number of solutions, the equation sin^(4)x + cos^(4)x = sin x cosx...

    Text Solution

    |

  17. A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...

    Text Solution

    |

  18. Let y = sin^-1 (sin8) - tan^-1(tan 10) + cos^(-1)(cos12)-sec^(-1) (se...

    Text Solution

    |

  19. Let alpha and beta be two number where alpha lt beta The geometric mea...

    Text Solution

    |

  20. The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4...

    Text Solution

    |