Home
Class 12
MATHS
The greatest value of min (A),where Asub...

The greatest value of min `(A),where AsubeS and n(A)=r ,1lt=rlt=n ;` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then find: (i) The greatest value of n(A cup B) (ii) The least value of n(A cap B) .

If n(U)=50, n(A)=24, and n(B)= 30 where U is the universal set, then find (i) The greatest value of n(A cup B) (ii) The least value of n(A cap B)

Prove that the greatest value of .^(2n)C_(r)(0 le r le 2n) is .^(2n)C_(n) (for 1 le r le n) .

If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find: (i) The greatest Value of n(A cup B) (ii) The least value of n(A cap B) .

If a_(1) is the greatest value of f(x) , where f(x) =((1)/(2+[sinx])) (where [.] denotes greatest integer function) and a_(n-1)=((-1)^(n-2))/((n+1))+a_(n) (where n in N), then lim_(nrarroo) (a_(n)) is

Greatest value of (sin^-1 x)^3+(cos^-1 x)^3 is m/n pi^3 , where m and n are relatively prime, then the value of mn is

If a and b are the greatest values of ""^(2n)C_(r)and""^(2n-1)C_(r) respectively. Then,

The least value of natural number n such that ((n-1),(5))+((n-1),(6))lt((n),(7))," where"((n),(r))=(n!)/((n-r)!r!),is

The lengths of the sides of a traingle are log_(10)12,log_(10)75andlog_(10)n , where n in N . If a and b are the least ad greatest values of n respectively. The value of b-a is divisible by

Let the sum sum_(n=1)^(9)1/(n(n+1)(n+2)) written in the rational form be p/q (where p and q are co-prime), then the value of [(q-p)/10] is (where [.] is the greatest integer function)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let R be a relation on the set of integers given by a R b :-a=2^kdotb...

    Text Solution

    |

  2. If |veca|= 2, |vecb|=4 ,(veca,vecb)=(pi)/6 then |vecaXvecb|^(2) = 1) ...

    Text Solution

    |

  3. The greatest value of min (A),where AsubeS and n(A)=r ,1lt=rlt=n ; is

    Text Solution

    |

  4. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    Text Solution

    |

  5. Of the members of three athletic teams in a certain school, 21 are in ...

    Text Solution

    |

  6. the sum of the radii of inscribed and circumscribed circle of an n sid...

    Text Solution

    |

  7. If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

  8. Maximum possible area that can be enclosed by a wire of length 20 cm b...

    Text Solution

    |

  9. The A D ,B Ea n dC F are the medians of a c A B C , then (A D^2+B E^2+...

    Text Solution

    |

  10. Let P Q R be a triangle of area with a=2,b=7/2,and c=5/2, where a, b ...

    Text Solution

    |

  11. Find the equation of a straight lines which passes through the point (...

    Text Solution

    |

  12. If f(x)=|(log)e|x|| , then (a)f(x) is continuous and differentiable ...

    Text Solution

    |

  13. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  14. The total number of ways of selecting two numbers from the set {1,,...

    Text Solution

    |

  15. f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...

    Text Solution

    |

  16. If chocolates of a particular brand are all identical then the number ...

    Text Solution

    |

  17. The maximum value of function f(x)=x^3-12 x^2+36 x+17 in the interval ...

    Text Solution

    |

  18. If (1 + x + x^(2) + x^(3))^(n) = sum(r=0)^(3n) a(r) x^(r) "and" sum(r...

    Text Solution

    |

  19. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  20. Number of ways in which 7 people can occupy 6 seats, 3 seats on eac...

    Text Solution

    |