Home
Class 12
MATHS
Let f:R to R .is a function which is def...

Let `f:R to R` .is a function which is defined by `f(x)=x^2`
a.  one-one           b.  many-one         c. onto         d. into

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

Let f : R rarr R be the function defined by f(x) = 2x - 2 , AA x in R . Write f^(-1) .

Let f : R - {n} rarr R be a function defined by f(x)=(x-m)/(x-n) , where m ne n . Then,

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Show that the function f:N rarr N , given by f(x) = 2x, is one-one but not onto.

Let the f : R to R be defined by f(x)=2x+cos x , then f …………….

ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. x+y+z=x y z ,\ t h e n

    Text Solution

    |

  2. Statement I: cos e s^(-1)(cos e c9/5)=pi-9/5dot Statement II: cos e ...

    Text Solution

    |

  3. Let f:R to R .is a function which is defined by f(x)=x^2 a.  one-one ...

    Text Solution

    |

  4. If p + r = 2q and 1/q + 1/s = 2/r, then prove that p : q = r : s.

    Text Solution

    |

  5. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

    Text Solution

    |

  6. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

    Text Solution

    |

  7. Draw the graph of the following function: h(x)=|tan^(-1)(3x)|\

    Text Solution

    |

  8. If f(x)=cos^(- 1)x+cos^(- 1){x/2+1/2sqrt(3-3x^2)}then

    Text Solution

    |

  9. If cos^(-1)x/a+cos^(-1)y/b=alpha, prove that (x^2)/(a^2)-2(x y)/(a b)c...

    Text Solution

    |

  10. Prove the following sin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77/85)

    Text Solution

    |

  11. cos^(- 1)x=2sin^(- 1)sqrt((1-x)/2)=2cos^(- 1)sqrt((1+x)/2)

    Text Solution

    |

  12. Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5

    Text Solution

    |

  13. the value of 3tan^- 1(1/4)+tan^- 1(1/20)+tan^- 1(1/1985)

    Text Solution

    |

  14. If sin^2x + sin^2y < 1 ; x, y in R then prove that sin^-1(tanx . tany...

    Text Solution

    |

  15. Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1...

    Text Solution

    |

  16. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x) = pi If x satisfies the equa...

    Text Solution

    |

  17. If alpha=2 tan^(-1)((1+x)/(1-x)) and beta= sin^(-1)((1-x^2)/(1+x^2...

    Text Solution

    |

  18. solve:sin^-1x+sin^-1 2x=pi/3

    Text Solution

    |

  19. Arithmetic mean of the non-zero solutions of the equation tan^-1 (1/(2...

    Text Solution

    |

  20. Solve for x : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

    Text Solution

    |