Home
Class 12
MATHS
If a quadratic function in x has the val...

If a quadratic function in x has the value 9 when x=1 and has maximum value 10 when x=2 then the function is

A

`-x^2+4x+6`

B

`x+4x-x^2`

C

`8+4x-x^2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

A quadratic function in x has the value 9 when x = 1 and has a maximum value 10 when x = 2. Find the function.

if 2x - 7 - 5x^2 has maximum value at x=a then a=

f(x) = sin x(1+ cos x) has maximum value at x=

If xy(y-x)=16 then y has a minimum value when x=

If f(x) =x-k/x has a maximum value at x=-2 , then k=

The maximum value of 10 x - 5x^2-1 is

Theorem : Let f(x)=ax^(2)+bx+c be a quadratic function. If a lt 0 then f(x) has maximum value at x=(-b)/(2a) and the maximum value =(4ac-b^(2))/(4a)

Theorem: Let f(x)=ax^(2)+bx+c be a quadratic function. If a lt 0 then f(x) has maximum value at x=(-b)/(2a) and the maximum value =(4ac-b^(2))/(4a)

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

    Text Solution

    |

  2. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  3. If a quadratic function in x has the value 9 when x=1 and has maximum ...

    Text Solution

    |

  4. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  5. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  6. If the product of two positive numbers is 400 then the minimum value o...

    Text Solution

    |

  7. The sum of two positive numbers is 12. The numbers so that the sum of ...

    Text Solution

    |

  8. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  9. The sum of three numbers is 30 . The first plus three times the second...

    Text Solution

    |

  10. Divide 64 into two parts such that the sum of the cubes of two parts i...

    Text Solution

    |

  11. The maximum value of xy subject to x+y =7 is

    Text Solution

    |

  12. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |

  13. The ratio of the two parts of a number 'a' such that the product of th...

    Text Solution

    |

  14. If x, y, k, m, n are positive and x + y = k, then find the maximum val...

    Text Solution

    |

  15. The difference of a number and its square is maximum, then the number ...

    Text Solution

    |

  16. If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)...

    Text Solution

    |

  17. The value of a so that the sum of the squares of roots of the equation...

    Text Solution

    |

  18. The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3. T...

    Text Solution

    |

  19. The focal distance of the point (4,2) on the parabola x^(2)=8y is

    Text Solution

    |

  20. The equation of the normal to the curve x^2=4y at (2,1) is

    Text Solution

    |