Home
Class 12
MATHS
Let f(x) is a cubic polynomial with real...

Let `f(x)` is a cubic polynomial with real coefficients, `x in R` such that `f''(3)=0`, `f'(5)=0` . If `f(3)=1` and `f(5)=-3` , then `f(1)` is equal to-

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to

Let f(x) polynomial of degree 5 with leading coefficient unity such that f(1)=5, f(2)=4,f(3)=3,f(4)=2,f(5)=1, then f(6) is equal to (a).0 (b). 24 (c). 120 (d). 720

Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Sum of the roots of f (x) is equal to :

Let f(x) be a polynominal with real coefficients such that f(x)=f'(x) times f'''(x). If f(x)=0 is satisfied x=1,2,3 only, then the value of f'(1)f'(2)f'(3) is

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

If f'(x)=(dx)/((1+x^(2))^(3//2)) and f(0)=0. then f(1) is equal to

If f(x)-3f((1)/(x))=2x+3(x ne 0) then f(3) is equal to

Let f(x) be a differentiable function on x in R such that f(x+y)=f(x). F(y)" for all, "x,y . If f(0) ne 0, f(5)=12 and f'(0)=16 , then f'(5) is equal to

Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is

If f(x) is a polynomial of degree four with leading coefficient one satisfying f(1)=1, f(2)=2,f(3)=3 .then [(f(-1)+f(5))/(f(0)+f(4))]

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  2. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  3. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

    Text Solution

    |

  4. Let f(x) be a function such that ("lim")(xvec0)(f(x))/x=1 and ("lim...

    Text Solution

    |

  5. Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = ...

    Text Solution

    |

  6. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

    Text Solution

    |

  7. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

    Text Solution

    |

  8. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

    Text Solution

    |

  9. Number of triplets of a, b & c for which the system of equations, ax -...

    Text Solution

    |

  10. int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx is

    Text Solution

    |

  11. Find the coefficient of x^(50) after simplifying and collecting the li...

    Text Solution

    |

  12. A function is reprersented parametrically by the equations x=(1+t)/(t^...

    Text Solution

    |

  13. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

    Text Solution

    |

  14. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  15. The centres of two circles C(1)andC(2) each of unit radius are at a di...

    Text Solution

    |

  16. Consider circles C(1): x^(2) +y^(2) +2x - 2y +p = 0 C(2): x^(2) +y...

    Text Solution

    |

  17. If alpha and beta are the eccentric angles of the extremities of a f...

    Text Solution

    |

  18. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  19. Find the equations of the sides of the triangle having (3,-1) as a vtr...

    Text Solution

    |

  20. int^(x costheta+1)/((x^2+2x costheta+1)^(3//2)) is sqrt(x costheta+1)+...

    Text Solution

    |