Home
Class 12
MATHS
If P(x) is polynomial satisfying P(x^(2)...

If P(x) is polynomial satisfying `P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2)=0andP(1)=0.`
The maximum value of P(x) is

A

`-(1)/(3)`

B

`(1)/(4)`

C

`-(1)/(2)`

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|19 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

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

If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2) =P(0)=P (2) =2 find the maximum vaue of P (x).

Find all polynomials p satisfying p(x+1)=p(x)+2x+1

If P(x) be a polynomial satisfying the identity P(x^(2))+2x^(2)+10x=2xP(x+1)+3, then P(x) is

P(x) is said to be a monic polynomial if its leading coefficient is 1. If P(x) is divided b (x-a) the remainder is given by P(a). If P(a) = 0 then (x-a) is called factor of P(x). If P(x) is a monic polynomial of degree 4 such that P(1) = P(2) = P(3) = P(4) = 2. The value of P(0) is

If P (x) is polynomial of degree 2 and P(3)=0,P'(0)=1,P''(2)=2," then "p(x)=

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(2) is

A quadratic polynomial p(x) is given as p(x)=x^(2)-5x+6, then find the maximum value of (p(cos x))/(2)

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(1) is

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
  1. sinx+cosx=y^(2)-y+a has no value of x for any y, if a belongs

    Text Solution

    |

  2. f:R to R is defined by f(x)==(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(...

    Text Solution

    |

  3. Let f(x) be a quadratic expression possible for all real x. If g(x)=...

    Text Solution

    |

  4. Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi, Then, f(x) is

    Text Solution

    |

  5. f(x)={(2-|x^(2)+5x+6|"",xne-2),(a^(2)+1"",x=-2):},then the range of a,...

    Text Solution

    |

  6. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

    Text Solution

    |

  7. Maximum number area of rectangle whose two sides are x=x(0),x=pi-x(0...

    Text Solution

    |

  8. f(x)=-1+kx+k neither touches nor intecepts the curve f(x)= In x, then ...

    Text Solution

    |

  9. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

    Text Solution

    |

  10. A curve whose concavity is directly proportional to the logarithm of i...

    Text Solution

    |

  11. F(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

    Text Solution

    |

  12. If f(x) = { 3 + |x-k|, x leq k; a^2 -2 + sin(x-k)/(x-k), xgtk} has min...

    Text Solution

    |

  13. Let f(x) be linear functions with the properties that f(1) le f(2), f(...

    Text Solution

    |

  14. If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2...

    Text Solution

    |

  15. If the curve x^(2)=-4(y-a) does not intersect the curve y=[x^(2)-x...

    Text Solution

    |

  16. Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

    Text Solution

    |

  17. Let f:NrarrN in such that f(n+1)gtf(f(n)) for all n in N then

    Text Solution

    |

  18. The equation |2ax-3|+|ax+1|+|5-ax|=(1)/(2) possesses

    Text Solution

    |

  19. If int(0)^(x)2xf^(2)(t)dt=(int(0)^(x)2f(x-t)dt)^(2) for f(1)=1 and f(x...

    Text Solution

    |

  20. A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local max...

    Text Solution

    |