Home
Class 12
MATHS
Let M be the maximum and m be the minimu...

Let `M` be the maximum and `m` be the minimum value of `|2/(3+i e^(itheta))|` , then `(a)M=2` (b) `M=1` `m=1/4` (d) `m=1/2`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)=(log_(3)x)^(4)+12(log_(3)x)^(2)*(log_(3)((27)/(x))) where x in[1,729], .If M be the ],[ maximum and m be the minimum value of f(x) ,then ],[ (A) M=81, (B) m=0, (C) M=27, (D) m=3

If maximum and minimum values of |sin^(-1)x|+|cos^(-1)x| are M and m, then M+m is

If m and M are the minimum and the maximum values of 4+(1)/(2)sin^(2)2x-2cos^(4)x,x in R then

Find the value of (-4m)^(3) div (1)/((2m)^(2))

Let minimum and maximum value of y=2x^(3)-15x^(2)-36x+1AA x in[0,3] is m and M. Then

If M and m are maximum and minimum value of the function f(x)= (tan^(2)x+4tanx+9)/(1+tan^(2)x) , then (M + m) equals

Let the maximum and minimum value of the expression 2 cos^(2) theta + cos theta + 1 is M and m respectively, then the value of [M/m] is (where [.] is the greatest integer function)

Let M and m respectively be the maximum and minimum values of the function f(x) = tan^(-1) (sin x + cos x) " in " [0, (pi)/(2)] . Then the vlaue of tan (M-m) is equal to :

RESONANCE DPP-JEE MAINS-All Questions
  1. If chocolates of a particular brand are all identical then the number ...

    Text Solution

    |

  2. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of inter...

    Text Solution

    |

  3. Let M be the maximum and m be the minimum value of |2/(3+i e^(itheta))...

    Text Solution

    |

  4. Number of quadrilaterals which can be constructed by joining the verti...

    Text Solution

    |

  5. In how many different ways a grandfather along with two of his grandso...

    Text Solution

    |

  6. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |

  7. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  8. y = sqrt(3)x +lambda is drawn through focus S of the parabola y^(2)= 8...

    Text Solution

    |

  9. If m and n are the smallest positive integers satisfying the relation ...

    Text Solution

    |

  10. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  11. n^(t h) terms of the series 1+4/5+7/(5^2)+(10)/(5^3)+ ......... will b...

    Text Solution

    |

  12. A five digits number of the form xyzyx is choosen, probability that xl...

    Text Solution

    |

  13. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

    Text Solution

    |

  14. The number of zeros at the end of 70!, is

    Text Solution

    |

  15. If all the letters of the word IIT-JEE are written at random in a row,...

    Text Solution

    |

  16. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

    Text Solution

    |

  17. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

    Text Solution

    |

  18. If the point Q is choosen such that PA, PQ and PB are in G.P, then ...

    Text Solution

    |

  19. If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("...

    Text Solution

    |

  20. sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary...

    Text Solution

    |