Home
Class 11
MATHS
If f={(4,5),(5,6), (6,-4)} and g={(4,-4)...

If `f={(4,5),(5,6), (6,-4)}` and `g={(4,-4),(6,5),(8,5)}` then find:
(i) f+g, (ii) f-g, (iii) 2f+4g, (iv) f+4, (v) fg, (vi) f/g, (vii) |f|, (viii) `sqrt(f)`, (ix) `f^(2)`, (x) `f^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) {(4,1),(6,1)}, (ii) {(4,9),(6,-9)}, (iii) {(4,-6),(6,12)},(iv) {(4,9),(5,10),(6,0)} , (v) {(4,-20),(6,-20)}, (vi) {(4,-5/3),(6,-4/5)}, (vii) {(4,5),(5,6),(6,4)}, (viii) `{(4,sqrt(5)),(5,sqrt(6)}`, (ix) `{(4,25),(5,36),(6,16)}`,(x) `{(4,125),(5,216),(6,-64)}`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (VERY SHORT ANSWER TYPE QUESTIONS)|2 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
AAKASH SERIES-FUNCTIONS -EXERCISE -1.1 (VERY SHORT ANSWER QUESTIONS)
  1. Is g={(1,1),(2,3),(3,5),(4,7)} is a function from A={1,2,3,4}. to B={1...

    Text Solution

    |

  2. If f= {(1, 2), (2, -3), (3, -1)} then find: (i) 2f, (ii) 2+f, (iii) ...

    Text Solution

    |

  3. If f={(4,5),(5,6), (6,-4)} and g={(4,-4),(6,5),(8,5)} then find: (i)...

    Text Solution

    |

  4. If f(x) = x^(2) and g(x) = Ixl then find the values of: (i) f+g, (i...

    Text Solution

    |

  5. If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3), then S.T f(x) +...

    Text Solution

    |

  6. f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2...

    Text Solution

    |

  7. If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)|, then show that f(...

    Text Solution

    |

  8. If f(x)=cos(logx), then show that f((1)/(x)).f((1)/(y))-(1)/(2)[f((x)/...

    Text Solution

    |

  9. If the function f: R to R defined by f(x)=(4^(x))/(4^(x)+2), then show...

    Text Solution

    |

  10. If the function f: R to R defined by f(x)=(3^(x)+3^(-x))/(2), then S....

    Text Solution

    |

  11. If f: R to R, g : R to R are defined by f(x) = 4x-1 and g(x) = x^(2)+2...

    Text Solution

    |

  12. If f: R to R, g : R to R are defined by f(x) =3x-1, g(x) =x^(2)+1, the...

    Text Solution

    |

  13. If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

    Text Solution

    |

  14. If f(x) = 1//x, g(x) = sqrt(x) for all x in (0,oo), then find (gof)(x)...

    Text Solution

    |

  15. If f(x) = 2, g(x) = x^(2), h(x) = 2x then find (fogoh)(x)

    Text Solution

    |

  16. If f(x) = (x+1)/(x-1) (x ne -1) then find (fofof)(x) and (fofofof)(x).

    Text Solution

    |

  17. Let f(x) = x^(2), g(x) = 2^(x). Then solve the equation (fog)(x)=(gof)...

    Text Solution

    |

  18. Determine whether the following functions are even or (odd). (i) f(x...

    Text Solution

    |

  19. P.T the real valued function f(x)= (x)/(e^(x)-1) + x/2 + 1 is an even ...

    Text Solution

    |

  20. If f:R to R is defined as f(x+y)=f(x)+f(y) AA x,y in R and f(1) = 7, f...

    Text Solution

    |