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

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'(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

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

f(x) is an odd polynomial function. Then cos [f(x)] is

If a, b, c, d, e, f are in A.P then e-c=

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

If a polynomial of degree 'n' satisfies f(x)= f'(x) f^(11) (x) AA n in R " then " f(x) is

f{x) is an even polynomial function. Then sin(f(x)-3x) is

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

    Text Solution

    |

  2. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

    Text Solution

    |

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

    Text Solution

    |

  4. If x gt 1, y gt 1 , z gt 1 are in G.P then (1)/(1 + log x ), (1)/( 1...

    Text Solution

    |

  5. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

    Text Solution

    |

  6. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

    Text Solution

    |

  7. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

    Text Solution

    |

  8. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

    Text Solution

    |

  9. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

    Text Solution

    |

  10. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

    Text Solution

    |

  11. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

    Text Solution

    |

  12. If b +c, c + a, a + b are in H.P then

    Text Solution

    |

  13. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

    Text Solution

    |

  14. Three positive numbers form an increasing G.P. if the middle term in t...

    Text Solution

    |

  15. If a,b,c are real

    Text Solution

    |

  16. If p,q,r are three positive real numbers then the value of (p + q) (q ...

    Text Solution

    |

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

    Text Solution

    |

  18. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

    Text Solution

    |

  19. If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., th...

    Text Solution

    |

  20. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

    Text Solution

    |