Home
Class 12
MATHS
which of the following graph represents ...

which of the following graph represents the expression `f(x) = ax^2 + bx + c` `(a!=0)` when `a>0,b<0` `$` `c<0` ?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (OBJECTIVE PROBLEMS)|28 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

For which of the following graphs of the quadratic expression f(x)=ax^(2)+bx+c , the product of abc is negative

For which of the following graphs of the quadratic expression y=ax^(2)+bx+c , the product a.b.c is negative.

If a,b,c in R, then for which of the following graphs of the quadratic polynomial y = ax ^(2) -2bx+ c (a ne 0), the product (abc) is negative ?

which one of the following can best represent the graph of quadratic polynomial y=ax^(2)+bx+c (where a 0)?

The following figure shows the graph of f(x)= ax^(2)+ bx+c , find the sign of a, b and c .

It is given that the expression ax^(2)+bx+c is positive for all x greater than 5 .Then which of the following is true. (1) the equation ax^(2)+bx+c=0 has equal roots (2) a>0 and b (3) a>0 but b may or may not be negative (4) c>5

The quadratic expression ax^(2)+bx+c>0 AA x in R ,then

The following figure shows the graph of f(x) =ax^(2)+bx +c , then find the sign of values of a, b and c .

MOTION-QUADRATIC EQUATION-EXERCISE -1 (OBJECTIVE PROBLEMS)
  1. If a, b, c are integers and b^2=4(ac + 5d^2), d in N, then roots of th...

    Text Solution

    |

  2. Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. ...

    Text Solution

    |

  3. The expression y = ax^2+ bx + c has always the same sign as of a if

    Text Solution

    |

  4. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  5. If both roots of the quadratic equation (2-x) (x + 1) = p are distin...

    Text Solution

    |

  6. If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have...

    Text Solution

    |

  7. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |

  8. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

    Text Solution

    |

  9. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3K x^2...

    Text Solution

    |

  10. If the roots of the equation x^(3)+Px^(2)+Qx-19=0 are each one more th...

    Text Solution

    |

  11. If the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, f...

    Text Solution

    |

  12. Q. If (6x^2-5x-3)/(x^2-2x+6)<=4, then the least and the highest values...

    Text Solution

    |

  13. which of the following graph represents the expression f(x) = ax^2 + b...

    Text Solution

    |

  14. Let f(x)=x^(2)+4x+1, then

    Text Solution

    |

  15. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

    Text Solution

    |

  16. The equation pi^x=-2x^2+6x-9 has

    Text Solution

    |

  17. Find the values of k so that the quadratic equation x^2+2(k-1)x+k+5=0 ...

    Text Solution

    |

  18. If the inequality (m-2)x^(2)+8x+m+4gt0 is satisfied for all x epsilon ...

    Text Solution

    |

  19. If alpha,beta are the roots of the equation x^2-2p(x-4)-15=0 then the ...

    Text Solution

    |

  20. If alpha, beta be the roots of 4x^(8) - 16x + c = 0, c in R such that ...

    Text Solution

    |