Home
Class 11
MATHS
If p(x) is a polynomial such that p(x^2+...

If p(x) is a polynomial such that `p(x^2+1)={p(x)}^2+1` and `p(0)=0` then `p^1(0)` is equal to

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET (ADVANCED)) (More than correct answer Type Questions)|3 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET (ADVANCED)) (Linked Comprehension Type Questions)|6 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Integer Type Questions)|10 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

p(-3) = 0 then p(x) = ………..

p(a/b)=0 then p(x) = …………..

If P (x) is a polynomial of 2nd degree and P (2) =-1, P'(2) =0 and p''(2)=2 then P'(1)=

p(x) = x^2-3x+2 then p(0)=

If p(x)=4x^2-4x+1 , then p(0)=

p(x) = 2x+1 then p(-1//2) =

If x is a Poisson distribution such that P(X=2)=(2)/(3)P(X=1) then P(X=3) =

If P (x) is polynomial of 3rd degree and P''(1) =0, P'''(1)=6 then P ''(0)=

If p(x) is a polynomial of degree nge1 and 'a' is any real number, then (i)(x-a) is a factor of p(x), if p(a) = 0 (ii) and Its converse "if (x - a) is a factor of a polynomial p(x) then p(a) = 0 ." Let us see the simple proof of this theorem.

AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))(Straight Objective Typee Questions)
  1. If f(x)=[Tanpi//4+Tanx].[Tanpi//4+tan(pi//4-x)]andg (x)=x(x+1), then t...

    Text Solution

    |

  2. If f(x)=|x|^(|sinx|) then f^1(-pi/4) is equal to

    Text Solution

    |

  3. If p(x) is a polynomial such that p(x^2+1)={p(x)}^2+1 and p(0)=0 then ...

    Text Solution

    |

  4. If x^2+y^2=2 and y^11+A.y^(-3)=0 then A =

    Text Solution

    |

  5. Iff^1(x)=sqrt(2x^(2)-1)and y=f(x^2)then dy/dx at x = 1 is

    Text Solution

    |

  6. If y=logu|cos4x|+|sinx| where u=sec2x then (dy/dx)(x=-pi/6) is

    Text Solution

    |

  7. If u=f(x^3),v=g(x^2),f'(x)=cosx, and g'(x)=sinx, then (du)/(dv) is

    Text Solution

    |

  8. If y=x-x^2,then the derivative of y^2 with respect to x^2 is

    Text Solution

    |

  9. If y=x-x^2,then the derivative of y^2 with respect to x^2 is

    Text Solution

    |

  10. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/(sqrt(a-x)+sqrt(x-b)) then dy/dx ...

    Text Solution

    |

  11. If y=sqrt((1-x)/(1+x)) then (1-x^2)dy/dx is equal to

    Text Solution

    |

  12. If y= tan^(-1)sqrt((1-x)/(1+x)) then dy/dx at

    Text Solution

    |

  13. If e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+sqrt(1-t)) and tan (y/2)=sqrt(...

    Text Solution

    |

  14. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)), then dy/dx is equal ...

    Text Solution

    |

  15. If ysqrt(x^2+1)=log(sqrt(x^2+1)-x),then(x^2+1)dy/dx+xy+1=

    Text Solution

    |

  16. If f(x)=|loge(x||, then f'(x)equals.

    Text Solution

    |

  17. If f,g,h are such that f^(1)(x) = g(x), g^(1)(x) = h(x), h^(1)(x) = f(...

    Text Solution

    |

  18. Let P(x)=a0+a1x+a2x^2+...+anx^n.If|P(x)|le|e^(x-1)-1,|AAxge0, then the...

    Text Solution

    |

  19. If f(x) = sqrt(1-sin2x), then f'(x) is equal to

    Text Solution

    |

  20. If y^2 =ax^2 + bx +c, then y^3(d^2y)/(dx^2) is

    Text Solution

    |