Home
Class 12
MATHS
If f(x)=a x^2+b x+c is a quadratic funct...

If `f(x)=a x^2+b x+c` is a quadratic function such that `f(1)=8,f(2)=11` and `f(-3)=6` find `f(x)` by using determinants. Also, find `f(0)dot`

Text Solution

Verified by Experts

`f(x)=a x^{2}+b x+c`
`f(1)=a+b+c=8`
`f(2)=4 a+2 b+c=11`
`f(-3)=9 a-3 b+c=6` ...
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos
  • DIFFERENTIABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|136 Videos

Similar Questions

Explore conceptually related problems

If f(x)=ax^(2)+bx+c is a quadratic function such that f(1)=8,f(2)=11 and f(-3)=6 find f(x) by using determinants. Also,find f(0) .

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

If f(x)=(ax^(2)+b)^(3), then find the function g such that f(g(x))=g(f(x))

If f(x) is a linear function such that f(0)=-3 and f(2)=7, find the formula for f(x) .

if f(x) be a quadratic polynomial such that f(2)=-3 and f(-2)=21 find the coefficient of x in f(x) .

If f:R rarr R is an odd function such that f(1+x)=1+f(x)x^(2)f((1)/(x))=f(x),x!=0 then find f(x)

Let f be a real-valued function such that f(x)+2f((2002)/(x))=3x. Then find f(x)

If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x + 1), then f(5) is

If f(x) be a differentiable function,such that f(x)f(y)+2=f(x)+f(y)+f(xy);f'(0)=0,f'(1)=2 then find f(x)

RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. The sum of three numbers is 6. If we multiply the third number 2 and ...

    Text Solution

    |

  2. Solve the system of equations2/x+3/y+(10)/z=44/x-6/y+5/z=16/x+9/y-(20)...

    Text Solution

    |

  3. If f(x)=a x^2+b x+c is a quadratic function such that f(1)=8,f(2)=11 a...

    Text Solution

    |

  4. Determine the values of lamda for which the following system of equati...

    Text Solution

    |

  5. For what values of aa n db , the following system of equations is cons...

    Text Solution

    |

  6. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

    Text Solution

    |

  7. Solve the following system of linear equations by Cramers rule: x-2...

    Text Solution

    |

  8. Solve the following system of linear equations by Cramers rule: 2x-...

    Text Solution

    |

  9. Solve the following system of linear equations by Cramers rule: 2x-...

    Text Solution

    |

  10. Solve the following system of linear equations by Cramers rule: 3x+...

    Text Solution

    |

  11. Solve the following system of linear equations by Cramers rule: 2x-...

    Text Solution

    |

  12. Solve the following system of linear equations by Cramers rule: 3x+...

    Text Solution

    |

  13. Solve the following system of linear equations by Cramers rule: 2x+...

    Text Solution

    |

  14. Solve the following system of linear equations by Cramers rule: 5x+...

    Text Solution

    |

  15. Solve the following system of linear equations by Cramers rule: 9x+...

    Text Solution

    |

  16. Solve the following system of linear equations by Cramers rule: x+2...

    Text Solution

    |

  17. Solve the following system of the linear equations by cramer's rule 3x...

    Text Solution

    |

  18. Solve the following system of linear equations by Cramers rule: x-4...

    Text Solution

    |

  19. Solve the following system of linear equations by Cramers rule: 6x+...

    Text Solution

    |

  20. Solve the following system of linear equations by Cramers rule: x+y...

    Text Solution

    |