Home
Class 12
MATHS
Let f(x) =(x-1^(4))(x-2^(n)),n in N.Then...

Let `f(x) =(x-1^(4))(x-2^(n)),n in N`.Then f(x) has

A

n=2

B

n=3

C

n=4

D

n=6

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part IV comprehension|7 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-3 Part I|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part II|21 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has (a) a maximum at x=1 if n is odd (b) a maximum at x=1 if n is even (c) a minimum at x=1 if n is even (d) a minima at x=2 if n is even

Let f(x)=(x-2)^2x^n, n in N Then f(x) has a minimum at

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f(x)=(x-1)(x-2)(x-3)--(x-n),n in N ,a n df(n)=5040. Then the value of n is________

Let f :R to R be a function, such that |f(x)|le x ^(4n), n in N AA n in R then f (x) is:

let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when

Let f(x)=(x)/((1+x^(n))^(1//n)) for n ge 2 and g(x)=underset("n times")underbrace(fofo ..."of"(x)) , then int x^(n-2)g(x)dx equals to

Let f(x) = (x^2 - 1)^(n+1) * (x^2 + x + 1) . Then f(x) has local extremum at x = 1 , when n is (A) n = 2 (B) n = 4 (C) n = 3 (D) n = 5

Let f(x)= lim_(n->oo)(sinx)^(2n)

RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Exersise-2 Part III
  1. If tangent to curve 2y^3 = ax^2+ x^3 at point (a, a) cuts off interce...

    Text Solution

    |

  2. For the curve x=t^(2) +3t -8 ,y=2t^(2)-2t -5 at point (2,-1)

    Text Solution

    |

  3. Which of the following statements is//are correct?

    Text Solution

    |

  4. If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) increase in (0,oo) ...

    Text Solution

    |

  5. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

    Text Solution

    |

  6. Let f(x)=x^(m/n) for x in R where m and n are integers , m even an...

    Text Solution

    |

  7. Let f and g be two differentiable functions defined on an interval I s...

    Text Solution

    |

  8. Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prov...

    Text Solution

    |

  9. if p,q,r be real then the interval in which f(x) =|underset(pr" ...

    Text Solution

    |

  10. If f(x)=(x^(2))/(2-2 cosx) and g(x) =(x^(2))/(6x-6sinx) where 0ltxlt1.

    Text Solution

    |

  11. Let f(x) =(x-1^(4))(x-2^(n)),n in N.Then f(x) has

    Text Solution

    |

  12. Discuss maxima/minima of f(x) = (x)/(1 + x tan x), x in (0, (pi)/(2))

    Text Solution

    |

  13. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

    Text Solution

    |

  14. if f(x) ={{:(-sqrt(1-x^(2))),(0 le x le 1);((-x)(x gt 1)):} then (1)...

    Text Solution

    |

  15. if f(x) = tan^(1) x -(1//2) ln x. then

    Text Solution

    |

  16. Let f(x) =(40)/(3x^(4) +8x^(3) -18x^(2)+60). Which of the following ...

    Text Solution

    |

  17. A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is

    Text Solution

    |

  18. Let f(x) be a differentiable function and f(a)=f(b)=0 (alpha ltbeta), ...

    Text Solution

    |

  19. For all x in [1, 2] Let f"(x) of a non-constant function f(x) exist a...

    Text Solution

    |