Home
Class 12
MATHS
Let fx) be a polynomial function of seco...

Let` fx)` be a polynomial function of second degree. If `f(1)= f(-1)` and a, b,c are in A.P, the `f'(a),f'(b) and f'(c)` are in

A

G.P.

B

H.P.

C

A.G.P.

D

A.P.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a polynomial function of second degree.If f(a)=f(-a) and a,b,c are in A.P.P.then f'(a),f'(b),f'(c) are in 1) G.P.2 ) H.P.3 ) A.G.P.4 ) A.P.

Let f(x) be a polynomial function of the second degree. If f(1)=f(-1) and a_(1), a_(2),a_(3) are in AP, then f'(a_(1)),f'(a_(2)),f'(a_(3)) are in :

let f(x) be a polynomial function of second degree. If f(1)=f(-1)and a_(1),a_(2),a_(3) are in AP, then show that f'(a_(1)),f'(a_(2)),f'(a_(3)) are in AP.

Let f(x) be a second degree polynomial function such that f(-1)=f(1) and alpha,beta,gamma are in A.P. Then, f'(alpha),f'(beta),f'(gamma) are in

If f(x) is a polynomial function of the second degree such tha f(0)=5, f(-1)=10 and f(1)= 6 then f(x)=_____.

Let f(x) be a polynomial function such that f(x)=x^(4) . What is f'(1) equal to?

If f(x) is a polynomial function of the second degree such that, f(-3)=6,f(0)=6" and "f(2)=11 , then the graph of the function, f(x) cuts the ordinate x = 1 at the point

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. The sum of integers from 1 to 100 that are divisible by 2 or 5 is

    Text Solution

    |

  2. The sum of infinite number of terms in G.P. is 20 and the sum of their...

    Text Solution

    |

  3. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

    Text Solution

    |

  4. Let Tr be the r^(th) term of an A.P whose first term is a and common d...

    Text Solution

    |

  5. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  6. If a,b,c are proper fractiion are in H.P. and x sum(n=1)^oo a^n, y=sum...

    Text Solution

    |

  7. If the expression in powers of x of the function 1/((1-ax)(1-bx)) is a...

    Text Solution

    |

  8. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

    Text Solution

    |

  9. If a1,a2,……….an are in H.P, then the expression a1 a2+a2+a3+…+a(n-1)an...

    Text Solution

    |

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

    Text Solution

    |

  11. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  12. A person is to count 4500 currency notes. Let an, denote the number of...

    Text Solution

    |

  13. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  14. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  15. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  16. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  17. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

    Text Solution

    |

  18. Given sum of the first n terms of an A.P is 2n + 3n^(2). Another A.P....

    Text Solution

    |

  19. the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

    Text Solution

    |

  20. Given a sequence of 4 numbers, first three of which are in G.P. and th...

    Text Solution

    |