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 are 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

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS , RELATIONS AND FUNCTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)|44 Videos

  • QUADRATIC EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (One or More than One Option Correct Type) |7 Videos

  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 2: Single Option Correct Type|1 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=ax^(2)+bx+c where a,b and c are real constants.If f(x+y)=f(x)+f(y) for all real x and y, then

Let f(x)=a+b|x|+c|x|^(4), where a,b and c are real constants.Then,f(x) is differentiable at x=0, if a=0 (b) b=0( c) c=0(d) none of these

Let f(x)=a+b|x|+c|x|^(4), where a,b, and c are real constants.Then,f(x) is differentiable at x=0, if a=0( b) b=0 (c) c=0( d) none of these

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

The function f(x)=x^(3)+ax^(2)+bx+c,a^(2)le3b has

Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then which of the following is/are true ?

Let f(x) = (x)/(sqrt(a^(2) + x^(2)))- (d-x)/(sqrt(b^(2) + (d-x)^(2))), x in R , where a, b and d are non-zero real constants. Then, (A) f is an increasing function of x (B) f' is not a continuous function of x (C) f is a decreasing function of x (D) f is neither increasing nor decreasing function of x

Consider the quadratic function f(x)=ax^(2)+bx+c where a,b,c in R and a!=0, such that f(x)=f(2-x) for all real number x. The sum of the roots of f(x) is

MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
  1. Let the number of elements of the sets A and B be p and q respectively...

    Text Solution

    |

  2. Let R be the set of all real numbers and f : Rrarr R be given by f(x) ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

    Text Solution

    |

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

    Text Solution

    |

  6. The number of real roots of equation log(e )x + ex = 0 is

    Text Solution

    |

  7. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

    Text Solution

    |

  8. Let f:R-> R be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of ...

    Text Solution

    |

  9. Let S={a,b,c}epsilonNxxNxxN:a+b+c=21,a<=b<=c} and T={(a,b,c)epsilon Nx...

    Text Solution

    |

  10. Let R be a relation defined on the set Z of all integers and x Ry whe...

    Text Solution

    |

  11. if A={5^(n)-4n-1: n in N} and B={16(n-1):n in N} then

    Text Solution

    |

  12. If the function R to R is defined by f(x)=(x^2+1)^(35)AA in R then f ...

    Text Solution

    |

  13. Let P be the set of all non-singular matrices of order 3 over ú and Q ...

    Text Solution

    |

  14. On the set R of real numbers we defined xPy i and only if xylt 0. T...

    Text Solution

    |

  15. On R, a relation p is defined by xpy if and only if x - y is zero or i...

    Text Solution

    |

  16. On the set R of real numbers, the relation p is defined by xpy, ( x ,y...

    Text Solution

    |

  17. If f: R rarr R be defined by f(x) =e^(x) and g:R rarr R be defined b...

    Text Solution

    |

  18. The domain of definition of f(x) = sqrt(1-|x|)/(2-|x|) is

    Text Solution

    |

  19. Let f:R->R be a function is defined by f(x)=x^2-(x^2)/(1+x^2), then

    Text Solution

    |

  20. Consider the function f(x)=cos x^(2) then

    Text Solution

    |