Home
Class 12
MATHS
The least natural number a for which x+a...

The least natural number `a` for which `x+a x^(-2)>2AAx in (0,oo)` is 1 (b) 2 (c) 5 (d) none of these

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

The least natural number a for which x+ax^(-2)gt2 ,AAx in (0,oo) is -

Let f: R ->[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4,oo] (d) none of these

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal to (a) 2 (b) 3 (c) 5 (d) none of these

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The value of the integral int_0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (b) log 7 (c) 5 log 13 (d) none of these

The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (c) infinite (d) none of these

If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1 (d) none of these

The values of a for which the integral int_0^2|x-a|dxgeq1 is satisfied are (a) (2,oo) (b) (-oo,0) (c) (0,2) (d) none of these

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Consider the function f(x)=xcosx-sinxdot Then identify the statement w...

    Text Solution

    |

  2. The number of values of k for which the equation x^3-3x+k=0 has two di...

    Text Solution

    |

  3. The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b...

    Text Solution

    |

  4. A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...

    Text Solution

    |

  5. A rectangle of the greatest area is inscribed in a trapezium A B C D ,...

    Text Solution

    |

  6. f(x)={4x-x^3+ln(a^2-3a+3),0lt=x<3 x-18 ,xgeq3 complete set of values...

    Text Solution

    |

  7. Let the function f(x) be defined as follows:(x)= {x^3 +x^2 −10x,−1≤x<...

    Text Solution

    |

  8. A differentiable function f(x) has a relative minimum at x=0. Then the...

    Text Solution

    |

  9. If f(x)=4x^3-x^2-2x+1 and g(x)={min f(t): 0<=t<=x; 0<=x<=1, 3-x : 1...

    Text Solution

    |

  10. The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...

    Text Solution

    |

  11. The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...

    Text Solution

    |

  12. For a cubic function y=f(x),f''(x)=4x at each point (x , y) on it and ...

    Text Solution

    |

  13. If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when x and y are s...

    Text Solution

    |

  14. f(x) is polynomial function of degree 6, which satisfies ("lim")(xvec...

    Text Solution

    |

  15. In which of the following graphs is x=c the point of inflection? figur...

    Text Solution

    |

  16. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  17. Find the local maxima and local minima for the given function and also...

    Text Solution

    |

  18. Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...

    Text Solution

    |

  19. Let f(x) be a cubic polynomial which has local maximum at x=-1 \ and \...

    Text Solution

    |

  20. Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...

    Text Solution

    |