Home
Class 12
MATHS
If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4)...

If `P(x) = a _0 + a _1 x ^(2) + a _2 x^(4) + … + a _n x ^(2n)` is a polynomial in a real variable `x` with `0 lt a _0 lt a _1 lt a _2 lt … lt a_n`. Then, the function `P (x)` has

A

Neither a max. nor a min.

B

Only one maximum

C

only one minimum

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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

If cosx = (1)/(2) and 0 lt x lt 2pi then solutions are

If f(x)= kx, 0 lt x lt 2 = 0 otherwise, is a probability density function of a random variable X , then find (i) value of k, (ii) P(1 lt x lt2).

If 0 lt x lt (pi)/(2) , then ("sin x + cosec x") is

0 lt a lt 2 pi , sin^(-1)(sin a ) lt x^(2)-2x for all x in I then a in

Let f(x)=(sinpix)/(x^(2)), x gt 0 The x_(1) lt x_(2) lt x_(3) . . . lt x_(n)lt .. . be all points of local maximum of f(x) and y^(1) lt y_(2) lt y_(3) . . . lt y_(n) lt . . . be all the points of lcal minimum of f(x) then correct options is/are

If the p.d.f of a continuous random variable X is f(x)=kx^(2)(1-x), 0 lt x lt 1 = 0 otherwise Then the value of k is

ML KHANNA-MAXIMA AND MINIMA -SELF ASSESSMENT TEST
  1. If a function f(x) has f^(prime)(a)=0a n df^(a)=0, then x=a is a maxim...

    Text Solution

    |

  2. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |