Home
Class 12
MATHS
if int (1)/(sqrt(9-16x^(2)))dx=alpha si...

if `int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c.` then ` alpha +(1)/(beta )=`

A

1

B

`(7)/(12)`

C

`(19)/(12)`

D

`(9)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|277 Videos

  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If int(1)/(sqrt(9-16x^(2)))dx=alphasin^(-1)(betax)+c , then alpha+(1)/(beta)=

"If "int (1)/(sqrt(4x^(2)-5))dx=alpha log|x+sqrt(x^(2)-beta)|,"then "alpha+2beta is

int (dx) / (sqrt (sin (x + alpha) cos ^ (3) (x-beta)))

int(dx)/(sqrt((x-alpha)(beta-x)))

If int _(0) ^(pi) ( sin ^(3) x) e^(- sin^(2)x)dx = alpha - (beta)/( e) int _(0)^(1) sqrt(t) e^(t) " dt , then " alpha + beta is equal to _____

int_( to )(x^(2)-1)/(x sqrt(x^(2)+alpha x+1)sqrt(x^(2)+beta x+1))dx is equal

If: sin^(-1)x = alpha + beta and sin^(-1)y = alpha - beta , then: 1+xy =

int_0^5 (x+[x])/(e^(x-[x]))dx=alphae^-1+beta "then" (alpha+beta)^2=?

If the domain of the function f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sqrt(sin^(-1)((2x-1)/(2)))) is the interval (alpha, beta] , then alpha + beta is equal to :

NIKITA PUBLICATION-MHT-CET 2017-MCQ
  1. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

    Text Solution

    |

  2. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

    Text Solution

    |

  3. if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then a...

    Text Solution

    |

  4. O(0,0), A(1,2), B(3,4) are the vertices of DeltaOAB. The joint equatio...

    Text Solution

    |

  5. If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3)...

    Text Solution

    |

  6. If alpha and beta are the roots of the equation x^(2)+5|x|-6=0, then t...

    Text Solution

    |

  7. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  8. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  9. If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqr...

    Text Solution

    |

  10. The number of principal solutions of tan2theta=1 is

    Text Solution

    |

  11. The objective function, z=4x(1)+5x(2), subject to 2x(1)+x(2)ge7,2x(1)+...

    Text Solution

    |

  12. If z(1) and z(2) are z-coordinates of the points of trisection of the ...

    Text Solution

    |

  13. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

  14. int(0)^(1)xtan^(-1)xdx=

    Text Solution

    |

  15. If c denotes the contradication, then dual of the compound statement ~...

    Text Solution

    |

  16. All parabolas whose axis is the Y-axis.

    Text Solution

    |

  17. int(0)^(3)[x]dx=…, where [x] is greatest integer function.

    Text Solution

    |

  18. The objective function off LPP defined over the convex set attains it ...

    Text Solution

    |

  19. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  20. Find the value of k, if the function f given by : {:(f(x)=[tan((pi)/...

    Text Solution

    |