Home
Class 11
MATHS
If the expression [m x-1+(1//x)] is non-...

If the expression `[m x-1+(1//x)]` is non-negative for all positive real `x ,` then the minimum value of `m` must be `-1//2` b. `0` c. `1//4` d. `1//2`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If x is real number, then the minimum value of x^2+x+1 is

For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2)) is

The real number x when added to its inverse given the minimum value of the sum at x equal to (a) 1 (b) -1 (c) -2 (d) 2

All the values of ' a ' for which the quadratic expression a x^2+(a-2)x-2 is negative for exactly two integral values of x may lie in (a) [1,3/2] (b) [3/2,2) (c) [1,2) (d) [-1,2)

If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-48=0, then the minimum value of (1//l)+(2//m)+(3//n) equals a 1 b 2 c 3/2 d 5/2

If Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value of (a+10b) must be

If x is real show that the expressions ((x-1)(x+3))/((x-2)(x+4)) has no value between 4/9 and 1.

If x be real then prove that (x-1)(x-2)+1 is always positive.

The minimum value of e^((2x^2-2x+1)sin^(2)x) is a. e (b) 1/e (c) 1 (d) 0

If (x^2+a x+3)/(x^2+x+a) takes all real values for possible real values of x , then a. a^3-9a+12<=0 b. 4a^3+39 < 0 c. ageq1/4 d. a<1/4

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  2. Find the complex number omega satisfying the equation z^3=8i and lyi...

    Text Solution

    |

  3. If the expression [m x-1+(1//x)] is non-negative for all positive real...

    Text Solution

    |

  4. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

    Text Solution

    |

  5. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

    Text Solution

    |

  6. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

    Text Solution

    |

  7. If a ,b ,c ,d are four consecutive terms of an increasing A.P., then t...

    Text Solution

    |

  8. Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...

    Text Solution

    |

  9. If roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-...

    Text Solution

    |

  10. If z1, z2, z3 are three nonzero complex numbers such that z3=(1-lambda...

    Text Solution

    |

  11. Coefficient of x^99 in the polynomial (x-1) (x-2)....(x-100) is

    Text Solution

    |

  12. Let z1, z2, z3 be three complex numbers and a ,b ,c be real numbers no...

    Text Solution

    |

  13. Fill in the blanks If 2+isqrt(3) is a root of the equation x^2+p x+q=0...

    Text Solution

    |

  14. Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),a n di ...

    Text Solution

    |

  15. Fill in the blanks. If the product of the roots of the equation x^2-3k...

    Text Solution

    |

  16. Solve for z : z^2-(3-2i)z=(5i-5)dot

    Text Solution

    |

  17. If the equations x^2+ax+b=0 and x^2+bx+a=0 have one common root. Then ...

    Text Solution

    |

  18. Find all possible values of sqrt(i)+sqrt(-i)dot.

    Text Solution

    |

  19. Fill in the blanksIfx<0,y<0,x+y+(x//y)=(1//2)a n d (x+y)(x//y)=-(1//2...

    Text Solution

    |

  20. Find the square roots of the following: (i) 7-24 i

    Text Solution

    |