Home
Class 12
MATHS
If the mapping {(1,2),(-1,6),(2,3),(3,6)...

If the mapping `{(1,2),(-1,6),(2,3),(3,6)` is descibed by the rule `f(x)=ax^2 +bx+c` , then find the assigned values of a, b and c.

Text Solution

Verified by Experts

The correct Answer is:
a = 1, b =-2, c = 3
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rule f(x) =px+q, then the values of p and q are-

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

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

If f(x)=(ax-b)/(bx-a) , then find the value of f(1/x) .

Show that, f = {(1, -6),(2, -1),(3, 4),(4, 9)} defines a mapping. If this mapping is described by the rule f(x)=ax+b , then what values should be assigned to a and b ?

Show that, f={(1,1),(-1,-5),(2,4),(3,7)} defines a mapping. If this mapping is described by the rule f(x) = px+q, then what valued should be assigned to p and q?

If f(x)=ax^(2)+bx+c and f(0) = 2, f(1) = 1, f(4) = 6, then find the valuse of a, b and c.

If f(x)=ax^(2)+bx+c and f(x - 1) = f(x) + 2x + 1. then find the values of a and b.

If f(x)=ax^(2)+bx+c and f(x + 1) = f(x) + x + 1, then determine the values of a and b.

If f(x) = 6x^3 + 4x^2 + 3x +2 , find the values of f(-1), f (1/3) and f(sqrt2) .

CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  2. Show that, f={(1,1),(-1,-5),(2,4),(3,7)} defines a mapping. If this ma...

    Text Solution

    |

  3. If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=...

    Text Solution

    |

  4. Let f be subset of ZZxxZZ such that f={(xy,x-y):x,y inZZ} is f a mappi...

    Text Solution

    |

  5. If A={1,2,3,4,5}, show that the relation f={(x,y):x+y=6} for all x,y i...

    Text Solution

    |

  6. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  7. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  8. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  9. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  10. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |

  11. Given y = 4 for all real values of x, Can y be regarded as a function ...

    Text Solution

    |

  12. The volume of an open tank with a square base of side x m is 40m^3. Ex...

    Text Solution

    |

  13. Given f(x) = 3x - 9 , find f(-1), f(3), f(x+h) and f(x^2-1).

    Text Solution

    |

  14. If f(x-1) = 7x - 5 find f(x) and f(x+2).

    Text Solution

    |

  15. If f(x+3) = 2x^2-3x-1, find the value of f(x+1).

    Text Solution

    |

  16. Given f(x+2)=x^2-6x+2, find f(0), f(2), f(-2) and f(x).

    Text Solution

    |

  17. If 2f(x)+3f(-x)=15-4x , prove that, f(x)=3+4x.

    Text Solution

    |

  18. If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

    Text Solution

    |

  19. If f(x)=2x^2-3x+5, find f(a+h) and (f(a+h)-f(a))/(h)

    Text Solution

    |

  20. If phi(x)=(1-x)/(1+x), show that, phi(cos2 theta)=tan ^2theta.

    Text Solution

    |