Home
Class 12
MATHS
The function f(x)=(ax+b)/((x-1)(x-4)) ha...

The function `f(x)=(ax+b)/((x-1)(x-4))` has a local maxima at (2,-1), then

A

b=1,a=0

B

a=1,b=0

C

b=-1,a=0

D

a=-1,b=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x(x+4)e^(-x/2) has its local maxima at x=a* Then (a)a=2sqrt(2)(b)a=1-sqrt(3)(c)a=-1+sqrt(3)(d)a=-4

The function f(x)=(x)/(2)+(2)/(x) has a local minimum at x=2( b) x=-2x=0 (d) x=1

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(3) has local maxima local minima point of inflexion

Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(3) has local maxima and local minima and points of inflexion.

The function f(x)=|x^(2)-3x+2| has local maxima at (i)x=1(ii)x=(3)/(2)( iii) x=2 (iv) none of these

The function f(x)=(|x^(2)-2|)/(|x^(2)-4|) has,(a) no point of local maxima (b) no point of local minima (c) exactly one point of local minima (d) exactly one point of local maxima

If the function f(x)=2x^3-6x^2-18x has local maxima at x=a and local minima at x=b and the area bounded by y=f(x) from x=a to x=b is A. Then find the value of 4A

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 4-MCQS
  1. If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1.

    Text Solution

    |

  2. If f(x) satifies of conditiohns of Rolle's theorem in [1,2] and f(x) i...

    Text Solution

    |

  3. The function f(x)=(ax+b)/((x-1)(x-4)) has a local maxima at (2,-1), th...

    Text Solution

    |

  4. int 1/((x-1)^3(x+2)^5)^(1/4)dx is equal to

    Text Solution

    |

  5. l=int(-2)^(1)(tan^(-1)x+"cot"^(-1)(1)/(x))dx is equal to

    Text Solution

    |

  6. iint(0)^(pi)sin^(4)xcos^(6)x dx is equal to

    Text Solution

    |

  7. The solution of the differential equation {1/x-y^(2)/(x-y)^(2)}dx+{x...

    Text Solution

    |

  8. Sum of the series 1+2.2+3.2^2 +4.2^3+.....+100.2^99 is

    Text Solution

    |

  9. Suppose X has a binomial distribution B(6,1/2). Show that X = 3is the ...

    Text Solution

    |

  10. A discret random variable X has the following probability distribution...

    Text Solution

    |

  11. If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l, then value of n is equal ...

    Text Solution

    |

  12. (p^^~q)^^(~p^^q) is

    Text Solution

    |

  13. Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled ...

    Text Solution

    |

  14. The equation of straight line passing through (-2,-7) and having an in...

    Text Solution

    |

  15. The line joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y...

    Text Solution

    |

  16. एक रेखा, एक घन के विकर्णों के साथ alpha, beta, gamma, delta, कोण बन...

    Text Solution

    |

  17. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

    Text Solution

    |

  18. Prove that sin6^0sin42^0sin66^0sin78^0-1/(16)

    Text Solution

    |

  19. If y^2 = P(x) is polynomial of degree 3, then 2(d/dx)(y^3.d^2y/dx^2) i...

    Text Solution

    |

  20. If y is a function of xa n dlog(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |