Home
Class 12
MATHS
Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x ...

Let `f(x)=x^2+ 1/x^2` and `g(x)=x-1/x, x in R-{-1,0,1}`. If `h(x) = f(x)/g(x)` then the local minimum value of `h(x)` is: (1) 3 (2) `-3` (3) `-2sqrt(2)` (4) `2sqrt(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

If f(x)=|x-2|+x^(2)-1 and g(x)+f(x)=x^(2)+3 , find the maximum value of g(x) .

If int(x-1)/(x^2sqrt(2x^2-2x-1))dx = sqrt(f(x))/g(x) +c then the value of f(x) and g(x) is

Let f:""R vec R be defined by f(x)={k-2x , if""xlt=-1 (-2x+3),x >-1} . If f has a local minimum at x=-1 , then a possible value of k is (1) 0 (2) -1/2 (3) -1 (4) 1

Let f(x)=2x-tan^-1 x- ln(x+sqrt(1+x^2)); x in R, then

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

If g(x) = 2x^(2) + 3x - 4 and g (f(x)) = 8x^(2) + 14 x + 1 then f (2) =

Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and (3^(x)+3^(-x)) are in A.P., then the minimum value of F(x) is:

If f(x)=cos^(-1)(x^((3)/(2))-sqrt(1-x-x^(2)+x^(3))),AA 0 le x le 1 then the minimum value of f(x) is

Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt-1):} . If f has a local minimum at x""=""1 , then a possible value of k is (1) 0 (2) -1/2 (3) -1 (4) 1

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  2. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  3. Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x in R-{-1,0,1}. If h(x) = f(x)/...

    Text Solution

    |

  4. Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ...

    Text Solution

    |

  5. If L1 is the line of intersection of the planes 2x-2y+3z-2=0x-y+z+1=0 ...

    Text Solution

    |

  6. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  7. The integral int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^...

    Text Solution

    |

  8. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  9. A bag contains 4 red and 6 blach balls O balls is drawn at random from...

    Text Solution

    |

  10. PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the m...

    Text Solution

    |

  11. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  12. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |

  13. If underset(i=1)overset(9)sum (x(i)-5) " and" underset(i=1)overset(9)s...

    Text Solution

    |

  14. There are 5 girls and 7 boyes and 2 girls is to be formed such that n...

    Text Solution

    |

  15. if vecA=i-j, vecB=i+j+k are two vectors and vecC is another vector suc...

    Text Solution

    |

  16. f(x)={ 5 ; xle1, a+bx; 1lt x lt 3, b+5x; 3le x lt5, 30 xge5 then

    Text Solution

    |

  17. Average height & variance of 5 students in a class is 150 and 18 respe...

    Text Solution

    |

  18. a,b,c are in G.P. and a+b+c=xb, x can not be (a) 2 (b) -2 (...

    Text Solution

    |

  19. {(2^(403))/(15)}=(k)/(15) then find k. (a) 2 (b) 8 (c) 1 (d...

    Text Solution

    |

  20. lim(y->o)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))= (a) (1)/(4sqrt(...

    Text Solution

    |