Home
Class 12
MATHS
Let A={a , b , c , d}a n df: AvecA be gi...

Let `A={a , b , c , d}a n df: AvecA` be given by `f={(a , b),(b , d),(c , a),(d , c)},` write `f^(-1)dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos
  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

Let A={a,b,c,d} and f :A->A be given by f={(a,b),(b,d),(c,a),(d,c)} , write f^(-1)

Let A={a ,\ {b}},f i n d P(A)dot

Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ if\ (a , b),(c , d) in NxxN then show that: (i)\ (a , b)R\ (a , b)\ for\ a l l\ (a , b) in NxxN (ii)\ (a , b)R(c , d)=>(c , d)R(a , b)for\ a l l\ (a , b),\ (c , d) in NxxN (iii)\ (a , b)R\ (c , d)a n d\ (c , d)R(e ,f)=>(a , b)R(e ,f)\ for all \ (a , b),\ (c , d),\ (e ,f) in NxxN

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

Let A={a , b , c , d},\ B={a , b , c}a n d\ C={b , d} . Find all sets X such that: XsubB\ a n d\ XsubCdot

Let D_1=|[a, b, a+b], [c, d, c+d], [a, b, a-b]| and D_2=|[a, c, a+c], [b, d, b+d], [a, c, a+b+c]| then the value of |(D_1)/(D_2)| , where b!=0 and a d!=b c , is _____.

Let A = [(1,0),(2,3)] and A^(n) = [(a, b),(c,d)] then lim_(n to oo) (b + c)/(a + d) =

Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find : ( A- B ) uu (B-A)

Let A = { a,b,c,d} = B ={b,c,e) and C = (d,e,f) Verify that : A uu B = B uuA

Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find : (B-C) uu (C- B)

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Which one the following relations on A={1,\ 2,\ 3} is a function? f...

    Text Solution

    |

  2. Write the domain of the real function f defined by f(x)=sqrt(25-x^2) .

    Text Solution

    |

  3. Let A={a , b , c , d}a n df: AvecA be given by f={(a , b),(b , d),(c ,...

    Text Solution

    |

  4. Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in ...

    Text Solution

    |

  5. If the mapping f:{1,\ 3,\ 4}->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} ,...

    Text Solution

    |

  6. If a function g={(1,1),(2,3),(3,5),(4,7)} is described by g(x)=alphax+...

    Text Solution

    |

  7. If f(x)=-4-(x-7)^3 , write f^(-1)(x)dot

    Text Solution

    |

  8. Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\...

    Text Solution

    |

  9. f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (...

    Text Solution

    |

  10. If f: A->B given by 3^(f(x))+2^(-x)=4 is a bijection, then A

    Text Solution

    |

  11. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

    Text Solution

    |

  12. Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=...

    Text Solution

    |

  13. The function f: A->B defined by f(x)=-x^2+6x-8 is a bijection, if A=(-...

    Text Solution

    |

  14. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

    Text Solution

    |

  15. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

    Text Solution

    |

  16. Let M be the set of all 2xx2 matrices with entries from the set R o...

    Text Solution

    |

  17. The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and on...

    Text Solution

    |

  18. The range of the function f(x)=\ ^(7-x)P(x-3) is (a) {1, 2, 3, 4, ...

    Text Solution

    |

  19. A function f from the set of natural numbers to integers is defined by...

    Text Solution

    |

  20. Let f be an injective map. with domain (x, y, z and range (1, 2, 3), s...

    Text Solution

    |