Home
Class 12
MATHS
If x = -1 and x = 2 are extreme points o...

If x = -1 and x = 2 are extreme points of f(x) = `alpha log|x| + beta x^2 + x`, then

A

`alpha=-6, beta=(-1)/(2)`

B

`alpha=2, beta=(-1)/(2)`

C

`alpha=2, beta=(1)/(2)`

D

`alpha=-6, beta=(1)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If f(x) = log (x – 2) – 1/x , then

If lim _( x to 0) (alpha x e ^(x) - beta log _(e) (1 + x ) + gamma x ^(2) e ^(-x))/( x^2 sin x) = 10, alpha , beta, gamma in R, then the value of alpha+ beta + gamma is ____________.

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 , then find the value of ((alpha)/(beta) + (beta)/(alpha)) .

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) If h (x) = (f (x))/(g (x)) then h'(alpha) equals to:

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 then find the value of ((alpha)/(beta)+(beta)/(alpha)) .

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) lim _(x to beta) (f (x) -c beta)/(g (x) - beta ^(2))=l then the value of x -l equals to:

If f(x)=2 x cot ^(-1)x + log (sqrt(1+x^2)-x then f(x)

If alpha and beta are the zeros of the polynomial f(x) = 5x^(2) - 7x + 1 , find the value of (1/alpha+1/beta).

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPLETITION FILE (Questions from JEE Main)
  1. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

  2. The equation of the tangent to the curve y""=""x""+4/(x^2) , that is p...

    Text Solution

    |

  3. Let f: R-> R be a positive increasing function with lim(x->oo)(f(3x))/...

    Text Solution

    |

  4. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  5. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  6. A spherical balloon is filled with 4500p cubic meters of helium gas...

    Text Solution

    |

  7. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  8. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  9. If x = -1 and x = 2 are extreme points of f(x) = alpha log|x| + beta x...

    Text Solution

    |

  10. The normal to the curve x^(2) +2xy-3y^(2)=0, at (1, 1):

    Text Solution

    |

  11. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

    Text Solution

    |

  12. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

  13. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |

  14. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  15. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

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

    Text Solution

    |

  17. The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real val...

    Text Solution

    |

  18. Let f(x) be an non - zero polynomial of degree 4. Extremum points of f...

    Text Solution

    |