Home
Class 12
MATHS
Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d...

Given P(x) `=x^(4) +ax^(3) +bx^(2) +cx +d` such that x=0 is the only real root of P'(x) =0 . If P(-1) lt P(1),` then in the interval `[-1,1]`

A

P (-1) is minimum and P(1) is maximum of P

B

P (-1) is not minimum but P(1) is the maximum of P

C

P (-1) is the minimum but P (1) is n ot the maximum of P

D

neither P(-1) is the minimum nor P(1) is the maximum of P.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (MATCHING ENTRIES)|1 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise MISCELANEOUS EXERCISE (COMPREHENSION)|3 Videos

  • MAXIMA AND MINIMA

    ML KHANNA|Exercise PROBLEM SET(3) (FILL IN THE BLANKS )|8 Videos

  • MATRICES

    ML KHANNA|Exercise COMPREHENSION|3 Videos

  • MEASURES OF CENTRAL TENDENCY

    ML KHANNA|Exercise ASSERTION / REASON|1 Videos

Similar Questions

Explore conceptually related problems

Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only real root of P'(x) =0 . If P(-1) < P(1), then in the interval [-1,1]

Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only real root of P '(x)""=""0.""If""P(1)""<""P(1) , then in the interval [1,""1] . (1) P(1) is the minimum and P(1) is the maximum of P (2) P(1) is not minimum but P(1) is the maximum of P (3) P(1) is the minimum but P(1) is not the maximum of P (4) neither P(1) is the minimum nor P(1) is the maximum of P

Let P(x) = x^4 + ax^3 + bx^2 + cx + d, where a, b, c, d in RR .Suppose P(0) = 6, P(1)=7, P(2) = 8 and P(3)=9, then find the value of P(4).

If P(x)=x^(4)+ax^(3)+bx^(2)+cx+d,P(1)=P2=P(3)=0 then find P(4)

Let P(x)=x^(4)+ax^(3)+bx^(2)+cx+d, where a ,b,c,d in R. Suppose P(0)=6,P(1)=7,P(2)=8 and P(3)=9 , then find the value of P(4)

Let P(x)=x^(4)+ax^(3)+bx^(2)+cx+d, where a,b,c,d in RR . Suppose P(0)=6,P(1)=7,P(2)=8 and P(3)=9, then find the value of P(4)

In the given figure graph of y = P(x) = ax^(5) + bx^(4) + cx^(3) + dx^(2) + ex + f , is given. The minimum number of real roots of equation (P''(x))^(2) + P'(x).P'''(x) = 0 , is

Let P(x)=P(0)+P(1)x+P(2)x^(2) be a polynomial such that P(-1)=1 ,then P(3) is :

ML KHANNA-MAXIMA AND MINIMA -SELF ASSESSMENT TEST
  1. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

  2. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

    Text Solution

    |

  3. N Characters of information are held on magnetic tape, in batches of x...

    Text Solution

    |

  4. The maximum value of (ln x)/x is:

    Text Solution

    |

  5. For the curve y=x e^x , the point

    Text Solution

    |

  6. The point (0,5) is closest to the curve x^2 = 2y at

    Text Solution

    |

  7. Show that the cone of the greatest volume which can be inscribed in a ...

    Text Solution

    |

  8. The function f(x) = abs( px - q) + r absx, x in (-oo,oo) where p gt 0...

    Text Solution

    |

  9. (a) The minimum value of 5^((x^2 - 2)^(3 + 8)) is …. (b) Max. value ...

    Text Solution

    |

  10. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  11. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

  12. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  13. Let f,\ g\ a n d\ h be real-valued functions defined on the interva...

    Text Solution

    |

  14. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  15. If f(x) = int0^x t^2 (t - 2) (t -3) dt for x in [0,oo] then

    Text Solution

    |

  16. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  17. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  18. Let f be a function defined on R such that f'(x) = 2010(x - 2009) ...

    Text Solution

    |

  19. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))),w h e r e-pi...

    Text Solution

    |

  20. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |