Home
Class 12
MATHS
Let the maximum value of expression y= (...

Let the maximum value of expression `y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(3) -1) ` for `x gt 1 is (p)/(1),` where p and 1q are relatively prime natural numbers, then `p+ q=`

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL|Exercise MATCHING TYPE PROBLEMS|7 Videos
  • ELLIPSE

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(3) -1) for x gt 1 is (p)/(q), where p and q are relatively prime natural numbers, then p+ q=

The value of sum_(n=1)^(oo)(1)/((3n-2)(3n+1)) is equal to (p)/(q), where p and q are relatively prime natural numbers.Then the value of (p^(2)+q^(2)) is equal to

If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term independent of x in (x-2/x)^(10) is p/q (where p and q are relative prime numbers) then q/8-p is

Let d bet the minimum value of f(x)=5x^(2)-2x+(26)/(5) and f(x) is symmetric about x=r. If sum_(n=1)^(n=1)(1+(n-1)d)r^(n-1) equals,(p)/(q), where p and q are relative prime,then find the value of (3q-p).

Let (x,y) be a pair of real number satisfying 56x+33y=-(y)/(x^(2)+y^(2)) and 33x-56y=(x)/(x^(2)+y^(2)) . If x/y=(p)/(q) (where p and q are relatively prime and pgtq ) then (6p-q) is

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

    Text Solution

    |

  2. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  3. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  4. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  5. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |

  6. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |

  7. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

    Text Solution

    |

  8. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  9. If f(x) is an even function then find the number of distinct real numb...

    Text Solution

    |

  10. The least integral value of m, m inR for which the range of function ...

    Text Solution

    |

  11. Let x1, x2, x3 satisfying the equation x^3 - x^2 + betax + gamma = 0 ...

    Text Solution

    |

  12. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

    Text Solution

    |

  13. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

    Text Solution

    |

  14. It is pouring down rain and the amount of rain hitting point (x,y) is ...

    Text Solution

    |

  15. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

    Text Solution

    |

  16. Let f (x) = x^(2)+10x+20. Find the number of real solution of the equa...

    Text Solution

    |

  17. If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(...

    Text Solution

    |

  18. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

    Text Solution

    |

  19. The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the...

    Text Solution

    |

  20. Find the number of integers in the domain of f (x) = (1)/(sqrt(ln cos ...

    Text Solution

    |