Home
Class 11
MATHS
For any two positive numbers a and b,pro...

For any two positive numbers a and b,prove that `AMgeGM`

Promotional Banner

Topper's Solved these Questions

  • Jodhpur Park Boys School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • KALIDHAN INSTITUTION

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

If a and b are two positive numbers, then prove that A.M. ge G.M. ge H.M.

If A is the A.M. and G is the G.M. of two unequal positive real numbers p and q, prove that A gt G and |G| gt (G^(2))/(A)

If A and G are the A.M.and G.M. of two unequal positive numbers a and b, show that A>G>G^2/A

For any two sets A and B,prove that Bsube(A-B)^c

For any two events A and b prove that, P(A) ge P(A cap B) ge P(A) + P(B) - 1

If A.M. and G.M. of two positive numbers a and b are 10 and 8, respectively, find the numbers.

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are A pm sqrt((A+G )(A−G )) .

For any two events A and b prove that, P(A cap B ) le P(A) le P(A cup B ) le P(A) + P(B)

Let the harmonic mean of two positive real numbers a and b be 4. If q is a positive real number such that a,5,q,b is an arithmetic progression , then the value (s) of abs(q - a) is (are)

For any two sets A and B, prove that P(A) cup P(B) sube P(A cup B)

UNITED BOOK HOUSE-JODHPUR PARK BOYS'S SCHOOL-EXERCISE
  1. Show that the middle term in the expansion of (x-1/x)^(2n)is (1.3.5.7....

    Text Solution

    |

  2. Find the sum of all factors of the number 3645.

    Text Solution

    |

  3. For any two positive numbers a and b,prove that AMgeGM

    Text Solution

    |

  4. Find the vaue of 9^(1/3)9^(1/9)9^(1/27)...oo

    Text Solution

    |

  5. Prove that the area of a triangle is invariant under the translation o...

    Text Solution

    |

  6. If t1and t2 are the roots of the equation t^2+lambdat+1=0,where lambda...

    Text Solution

    |

  7. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

    Text Solution

    |

  8. Find the distance from the eye at which a coin must be placed so as ju...

    Text Solution

    |

  9. If cos(alpha+beta)=4/5.sin(alpha-beta)=5/13and alpha,betalie between 0...

    Text Solution

    |

  10. Prove that cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)=-1/2

    Text Solution

    |

  11. Solve :6x^2-(5+3i)x+11i-3=0in the complex plane C.

    Text Solution

    |

  12. Find the sum of first n terms of the series:1/(1+1^2+1^4)+2/(1+2^2+2^4...

    Text Solution

    |

  13. Find n, if the ratio of the fifth term from beginning to the fifth ter...

    Text Solution

    |

  14. Find the natural number a for which sum(k=1)^nf(a+k)=16(2^n-1)where th...

    Text Solution

    |

  15. The line joing two points A(2,0)and B(3,1)I rotated about A in anti cl...

    Text Solution

    |

  16. In what direction should a line be drawn through the pont (1,2) so tha...

    Text Solution

    |

  17. If (alpha^2,alpha)lies inside the triangle bounded by the lines x-5y+6...

    Text Solution

    |

  18. Find the equations of the circles which passes through the origin and ...

    Text Solution

    |

  19. Show that :tan(142(1^@/2))=2+sqrt2-sqrt3-sqrt6

    Text Solution

    |

  20. If A+B+C=pi,prove that :cosA+cosB-cosC=-1+4cosA/2cosB/2sinC/2.

    Text Solution

    |