Home
Class 12
MATHS
The graph of quadratic polynomical f (x)...

The graph of quadratic polynomical `f (x) =ax ^(2) +bx +c` is shown below

A

`c/a |beta-alpha | lt -2`

B

`f (x) gt 0 AA x gt beta`

C

`ac gt 0`

D

`c/agt -1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|42 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

The graph of the polynomial f(x)=a x^2+b x+c is as shown below (Fig. 2.19). Write the signs of ' a ' and b^2-4a c . FIGURE

The graph of a quadratic polynomial y=ax^(2)+bx+c,a,b, epsilonR is shown. Find its vertex,roots and D.

The graph of a quadratic expression ax^(2)+bx+c is shown beside. Which of the following is correct?

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 ?

If graph of the quadratic y = ax ^(2)+bx+c is given below : then:

Figure 2.23 show the graph of the polynomial f(x) = ax² + bx + c for which (a) a 0 and c > 0 (b) a 0 (c) a 0, b > 0 and c < 0

if the number of quadratic polynomials ax^2+2bx+c which satisfy the following conditions : (i)a,b,c are distinct (ii)a,b,c in {1,2,3,….. , 2001,2002} (iii)x+1 divides ax^2 + 2bx +c is equal to 1000 lambda , then find the value of lambda .

Suppose that the quadratic function f(x) = ax^(2) + bx +c is non-negative on the interval [-1,1] . Then, the area under tha graph of f over the interval [-1,1] and the X - axis is given by the formula

The statement which gives the best description of location of the vertex of the quadratic trinomial f(x)=ax^(2)+bx+c,"with"a gt0and b^(2)-4acgt0,is

The graph of f(x) = (x-3)/(x^(2) - 2x - 3) is shown below. What is the domain of f(x) ?

VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The graph of quadratic polynomical f (x) =ax ^(2) +bx +c is shown belo...

    Text Solution

    |

  2. Let f (x) =ax ^(2) + bx+ c where a,b,c are integers. If sin ""pi/7. si...

    Text Solution

    |

  3. Let a, b, c, d be distinct integers such that the equation (x - a) (x ...

    Text Solution

    |

  4. Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), w...

    Text Solution

    |

  5. The number of positive integral values of , m le 16 for which the equa...

    Text Solution

    |

  6. If the equation (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then...

    Text Solution

    |

  7. The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...

    Text Solution

    |

  8. The integral values of x for which x ^(2) + 17 x +7 is perfect square ...

    Text Solution

    |

  9. Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...

    Text Solution

    |

  10. The number of real values of 'a' for which the largest value of the fu...

    Text Solution

    |

  11. The number of all values of n, (whre n is a whole number ) for which t...

    Text Solution

    |

  12. The number of negative intergral values of m for which the expression ...

    Text Solution

    |

  13. If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...

    Text Solution

    |

  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

    Text Solution

    |

  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

    Text Solution

    |

  16. The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...

    Text Solution

    |

  17. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

    Text Solution

    |

  18. Find the number of integral vaues of 'a' for which the range of functi...

    Text Solution

    |

  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

    Text Solution

    |

  20. Let p(x)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

  21. The range of value's of k for which the equation 2 cos^(4) x - sin^(4...

    Text Solution

    |