Home
Class 12
MATHS
If f(x) is a polynomial function of seco...

If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and a,b,c are in A.P., then f'(a), f'(b), f'(c ) are in `:`

A

G.P.

B

H.P.

C

arithmetic-geometric progression

D

A.P.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

If f(x) is a polynomial even function such that f(x).f(1/x)=f(x)+f(1/x) and f(2)=65 , then f(-3) =

If f(x) is a polynomial of degree ge 1 and f(alpha) = 0, alpha is called

Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/x). If f(4) = 65, then f^(')(x) =

If f(x) is a quadratic polynomial such that f(0) = 2, f(0) = -3 and f'(0) = 4 , then int_(-1)^(1) f(x) dx equals:

There exists a function f(x) satisfying f(0)=1, f'(0)=-1, f(x) gt 0 , for all x, then :

If x ne 1 and f(x)=(x+1)/(x-1) is a real function then f(f(f(2))) is

f: Z to Z is a linear function defined by f={(1,1),(0,-1),(2,3)} , find f(x)

If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. The first term of a G. P. is 1. The sum of the third and fifth terms i...

    Text Solution

    |

  2. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

    Text Solution

    |

  3. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  4. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  5. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

    Text Solution

    |

  6. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

    Text Solution

    |

  7. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

    Text Solution

    |

  8. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  9. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

    Text Solution

    |

  10. Let x,y,z be three positive prime numbers. The progression in which sq...

    Text Solution

    |

  11. If x = sum(n=0)^(oo) a^(n) .,y=sum(n=0)^(oo) b^(n) , z = sum(n=0)^(oo)...

    Text Solution

    |

  12. underset("n-digits")((666"……"6))^(2) +underset("n-digits") (( 888"…" 8...

    Text Solution

    |

  13. If sum(r=1)^(n) t(r ) = sum(k=1)^(n) sum(j=1)^(k) sum(i=1)^(j) 2, then...

    Text Solution

    |

  14. The odd numbers are divides as follows : {:(,,1,3,,),(,5,7,9,11,),(1...

    Text Solution

    |

  15. If x(1), x(2), x(3) as well as y(1) , y (2) , y (3) are in G.P. with t...

    Text Solution

    |

  16. If a(1) , a(2), "……………" a(n) are in H.P., then the expression a(1) a(2...

    Text Solution

    |

  17. In a geometric progression consisting of positive terms, each term equ...

    Text Solution

    |

  18. The first two terms of a geometric progression add upto 12. The sum of...

    Text Solution

    |

  19. The sum to infinity of the series : 1+ ( 2)/( 3) + ( 6)/( 3^(2)) +(...

    Text Solution

    |

  20. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |