Home
Class 12
MATHS
The function f(x)=sqrt((a x^3+b x^2+c x+...

The function `f(x)=sqrt((a x^3+b x^2+c x+a))` ha sits non-zero local minimum and local maximum values at `x-2 and x = 2`, respectively. It 'a is a root of `x^2-x-6=0`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=sqrt((ax^(3)+bx^(2)+cx+a)) ha sits non-zero local minimum and local maximum values at x-2 and x=2 , respectively.It a is a root of x^(2)-x-6=0

Find the local maximum value of x(1-x)^(2)0<=x<=

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

Find the local maximum and local minimum values of f(x)=sec x+log cos^(2)x,quad 0

Find the local maximum and local minimum value of f(x)=sec x+log cos^(2)x,0

If the function f(x) = x^(2) + alpha//x has a local minimum at x=2, then the value of alpha is

If f(x)=x+(1)/(x),xne0 , then local maximum and minimum values of function f are respectively . . .

RESONANCE DPP-JEE MAINS-All Questions
  1. int1^2 (dx/(x(x^4+1))) is equal to

    Text Solution

    |

  2. The length of transverse common tangent of the circles x^2+y^2=1and(x-...

    Text Solution

    |

  3. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

  4. The area of the region given by x^2+y^2-6y<=0&y<=x is (9pi-9)/4 b. ...

    Text Solution

    |

  5. The abscissae of a point, tangent at which to the curve y = e^x sin x...

    Text Solution

    |

  6. Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< be...

    Text Solution

    |

  7. A determinant is chosen at random from the set of all determinant o...

    Text Solution

    |

  8. Let vec a=2 hat i+ hat j+ hat k , hat b= hat i+2 hat j- hat k and a ...

    Text Solution

    |

  9. A die is rolled 4 times. The probability of getting a larger number ...

    Text Solution

    |

  10. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  11. If d/(dx)((1+x^2+x^4)/(1+x+x^2))=a x+b , then the value of a and b are...

    Text Solution

    |

  12. There are 4 urns. The first urn contains 1 white and 1 black ball, the...

    Text Solution

    |

  13. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradien...

    Text Solution

    |

  14. The number of ways in which 5 X's can be placed in the squares of the ...

    Text Solution

    |

  15. Consider an A.P. a1, a2, an , and the G.P. b1,b2, ,bn , such that a...

    Text Solution

    |

  16. If S be the sum, p the product and R the sum of the reciprocals of n t...

    Text Solution

    |

  17. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is e...

    Text Solution

    |

  18. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  19. If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx) is equal to 1/((1+x)^2) (b...

    Text Solution

    |

  20. There is a certain sequence of positive real numbers. Beginning from t...

    Text Solution

    |