Home
Class 12
MATHS
Let f(x) be a polynomial function of sec...

Let `f(x)` be 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

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos
  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) and f(4)=65 ,t h e nfin df(6)dot

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). The value of f(3) is

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>f(3a^2-4a+1), then the possible integers in the range of a is/are 1 (b) 2 (c) 3 (d) 4

Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x for all x in (0,oo) and f(1)=1 , then

Let f be a continuous function satisfying f '(I n x)=[1 for 0 1 and f (0) = 0 then f(x) can be defined as

f(x) is polynomial of degree 4 with real coefficients such that f(x)=0 satisfied by x=1, 2, 3 only then f'(1) f'(2) f'(3) is equal to -

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

Let f(x) be a non-constant twice differentiable function defined on (oo, oo) such that f(x) = f(1-x) and f"(1/4) = 0 . Then

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

    Text Solution

    |

  2. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

    Text Solution

    |

  3. Sum of infinite number of terms in GP is 20 and sum of their square is...

    Text Solution

    |

  4. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

    Text Solution

    |

  5. Fifth term of a GP is 2, then the product of 1ts 9 terms is

    Text Solution

    |

  6. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

    Text Solution

    |

  7. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

    Text Solution

    |

  8. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

    Text Solution

    |

  9. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

    Text Solution

    |

  10. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

    Text Solution

    |

  11. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

    Text Solution

    |

  12. The sum of series 1/2! + 1/4! + 1/6! + …….. is

    Text Solution

    |

  13. If the coefficients of r^(th),(r + 1)^(th) and (r + 2)^(th) terms in t...

    Text Solution

    |

  14. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  15. If a(1), a(2), a(3), ………, a(n)….. are in G.P., then the determinant De...

    Text Solution

    |

  16. Leta(1), a(2), a(3), ………be terms of an A.P. if (a(1) + a(2) + ...... a...

    Text Solution

    |

  17. If a(1), a(2) , ……. A(n) are in H.P., then the expression a(1)a(2) + a...

    Text Solution

    |

  18. The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

    Text Solution

    |

  19. In a geometric progression consisting of positive terms each term equa...

    Text Solution

    |

  20. The first two terms of a geometric progression add up to 12. The su...

    Text Solution

    |