Home
Class 12
MATHS
The function f(x)=x^(2)+bx+c, where b an...

The function `f(x)=x^(2)+bx+c`, where b and c real constants, describes

A

one-to-one mapping

B

onto mapping

C

not one-to-one but onto mapping

D

neither one-to-one nor onto mapping

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The function f(x) =x^(2)+bx +c , where b and c are real constants , decribes -

Draw the graph of the constant function, f(x) = c (here c is a fixed real constant).

Consider the function f(x)=x^(2)+bx+c, where D=b^(2)-4cgt0 , then match the follwoing columns.

Find the number of points of maxima and minima of the function. f(x)=1/8"In"x-bx+x^2,xgt0 where bge0 is a constant.

Let f(x) = a+ b|x| + c|x|^4 where a, b and continuous are real constants . Then, f(x) is differentiable at x = 0, if

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.

Determine the points of maxima and minima of the function f(x) =(1)/(8)log x-bx+x^(2), x gt 0 , where b ge 0 is a constant.

If the function f(x)=x^(3)+ax^(2)-bx+4 defined in -2 le x le 2 satisfies Rolle's theorem when -2 lt c lt 2 where c=(1)/(3)(1+sqrt(13)) , then find the values of a and b.

If the function f(x)=x^(3)-ax^(2)+bx-6 defined in 1 le x le 3 satisfies Rolle's theorem when 1lt c lt 3 where c=2+(1)/(sqrt(3)) , find the values of a and b.

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

    Text Solution

    |

  2. Suppose that the equation f(x)=x^(2)+bx +c=0 has two distinct real ...

    Text Solution

    |

  3. The function f(x)=x^(2)+bx+c, where b and c real constants, describes

    Text Solution

    |

  4. Let n ge 2 bet an integer, A=((cos(2pi//n),sin(2pi//n),0),(-sin(2pi//n...

    Text Solution

    |

  5. Ram is visiting a friend. Ram knows that his friend has 2 children ...

    Text Solution

    |

  6. The value of the sum (""^(n)C(1))^(2)+(""^(n)C(2))^(2) +(""^(n)C(3))^(...

    Text Solution

    |

  7. The remainder obtained when 1!+2!+3!+…+11! is divided by 12 is

    Text Solution

    |

  8. Out of 7 consonants and 4 vowels, the number of words (not necessarily...

    Text Solution

    |

  9. Let S=(2)/(1)""^(n)C(0)+(2^(2))/(2)""^(n)C(1)+(2^(3))/(3)""^(n)C(2)+…+...

    Text Solution

    |

  10. Let RR be the set of all real numbers and f:[-1,1] to RR be defined by...

    Text Solution

    |

  11. If a, b and c are positive numbers in a G.P., then the roots of th...

    Text Solution

    |

  12. There is a group of 265 persons who like either singing or dancing o...

    Text Solution

    |

  13. The range of the function y=3sin(sqrt((pi^(2))/(16)-x^(2))) is

    Text Solution

    |

  14. The value of lim( x to 0) (int(0)^(x^(2)) cos(t^(2))dt)/(x sinx) is

    Text Solution

    |

  15. Let f(x) be a differentiable function and f'(4)=5. Then lim(x to 2) (f...

    Text Solution

    |

  16. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

    Text Solution

    |

  17. Let I denote the 3xx3 identity matrix and P be a matrix obtained by ...

    Text Solution

    |

  18. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

    Text Solution

    |

  19. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

    Text Solution

    |

  20. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

    Text Solution

    |