Home
Class 12
MATHS
If ab = 2a + 3b, a gt 0, b gt 0, then t...

If ab = 2a + 3b, ` a gt 0, b gt 0`, then the minimum value of ab is

A

A. 12

B

B. 24

C

C. (1/4)

D

D. none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

Let x and y be two variables such that x gt 0 and xy =1. Then the minimum value of x+y is

Two buffer solutions A and B each made with benzoic acid and sodium benzoate differ in their pH by two units. A has salt : acid a:b. B has salt : acid =b:a. If agtb , then the value of a:b is a. 3.17" "b.10.0" "c.3.0" "d. 6.0

the derivative of e^(ax) cos bx with respect to x is re^(ax) cos (bx + tan ^(-1) (b ) /(a)) when a gt 0, b gt 0 then value r is

If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax^2 + bx + c =0

If lim_(x rarr 0) [1 + x In (1 + b^(2))]^(1/x) = 2b sin^(2) theta, b gt 0 and theta in (-pi, pi] , then the value of theta is :

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. If x-2y = 4, then the minimum value of xy is

    Text Solution

    |

  2. The minimum vallue of f(x) = sin^(4)x + cos^(4)x, 0 le x le pi/2 is

    Text Solution

    |

  3. If ab = 2a + 3b, a gt 0, b gt 0, then the minimum value of ab is

    Text Solution

    |

  4. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  5. Function f(x) = (lambda sin x + 6 cos x)/(2 sin x + 3 cos x) is monoto...

    Text Solution

    |

  6. The function f(x) = a sin x + 1/3 sin 3x has a maximum value of x = p...

    Text Solution

    |

  7. If a lt 0, the function f(x)=e^(ax)+e^(-ax) is decreasing for all valu...

    Text Solution

    |

  8. If p and q are positive real numbers such that p^(2)+q^(2)=1 then the ...

    Text Solution

    |

  9. On the interval [0,1] the function x^(25)(1-x)^(75) takes its maximum ...

    Text Solution

    |

  10. Let P(x)=a(0)+a(1)x^(2)+a(2)x^(4)+a(3)x^(6)+……+a(n)x^(2n) be a polynom...

    Text Solution

    |

  11. The function f(x) = int1^(x) [2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)] dt ...

    Text Solution

    |

  12. Let, f(x) = int e^(x) (x-1)(x-2) dx, then f(x) decreases in the interv...

    Text Solution

    |

  13. If f(x) = xe^(x(1-x), then f(x) is

    Text Solution

    |

  14. The number of values of x where the function f(x) = cos x + cos (sqrt2...

    Text Solution

    |

  15. If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

    Text Solution

    |

  16. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in :

    Text Solution

    |

  17. Suppose the cubic x^(3)-px+q has three distinct real roots, where p gt...

    Text Solution

    |

  18. The condition f(x) = x^(3)+px^(2)+qx+r (x in R) to have no extreme val...

    Text Solution

    |

  19. If m and M respectively the minimum and maximum of f(x)=(x-1)^(2)+3 fo...

    Text Solution

    |

  20. Let, f(x) = int0^(x) (cos t)/t dt. Then x = (2n+1) pi/2, f(x) has

    Text Solution

    |