Home
Class 12
MATHS
If sin^(-1)((3)/(x))+sin^(-1)((4)/(x))=(...

If `sin^(-1)((3)/(x))+sin^(-1)((4)/(x))=(pi)/(2)`, then x is equal to

A

3

B

5

C

7

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
Given,
`sin^(-1)((3)/(x))=(pi)/(2)-sin^(-1)((4)/(x))`
`rArr sin^(-1)((3)/(x))=cos^(-1)((4)/(x))`
`rArr sin^(-1)((3)/(x))=sin^(-1)((sqrt(x^(2)-16))/(x))`
`rArr (3)/(x)=(sqrt(x^(2)-16))/(x)rArr x=pm 5`
`therefore x=5`
[`because` -5 does not satisfy the given equation]
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 15

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 17

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

Similar Questions

Explore conceptually related problems

If sin^(-1)(1-x)-2 sin^(-1)x=(pi)/(2) , then x is equal to

If 4sin^(-1)x+cos^(-1)x=pi , then x is equal to

If sin^(-1)(1-x) -2sin^(-1)x=(pi)/(2) then x equal

Number of solutions of the equation,sin^(-1)(1-x)-4sin^(-1)(x)=(pi)/(2), is equal to

If sin^(-1)x+sin^(-1)y=(pi)/(2), "then" cos^(-1)x+cos^(-1)y is equal to

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 16-Paper - 2 (MATHEMATICS )
  1. Number of solutions of y=e^(x) and y=sin x is

    Text Solution

    |

  2. The angles A, B and C of a Delta ABC are in AP. If b:c=sqrt(3):sqrt(2)...

    Text Solution

    |

  3. If sin^(-1)((3)/(x))+sin^(-1)((4)/(x))=(pi)/(2), then x is equal to

    Text Solution

    |

  4. The probility that the same number appear on throwing three dice simu...

    Text Solution

    |

  5. The value of int(1)^(4) |x-3|dx is equal to

    Text Solution

    |

  6. L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], Iff(x)i s continuou...

    Text Solution

    |

  7. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  8. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

  9. The value of int(x^(2)+1)/(x^(2)-1)dx is

    Text Solution

    |

  10. If a=2sqrt(2),b=6,A=45^(@), then

    Text Solution

    |

  11. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

    Text Solution

    |

  12. int (dx)/(sin(x-a)sin(x-b)) is

    Text Solution

    |

  13. In DeltaABC 2a^2+4b^2+c^2=2ab+2ac then numerical value of cosB is

    Text Solution

    |

  14. The solution of the differential equation (e^(-2 sqrt(x))-(y)/(sqrt(x...

    Text Solution

    |

  15. Let f:(0,oo)to R and F(x)=int(0)^(x) f(t)dt. " If " F(x^(2))=x^(2)(1+x...

    Text Solution

    |

  16. lim(nto oo)1/n+(1)/(sqrt(n^(2)+n))+(1)/(sqrt(n^(2)+2n))+...(1)/(sqrt(n...

    Text Solution

    |

  17. The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

    Text Solution

    |

  18. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

    Text Solution

    |

  19. If the slope of one of the lines given by ax^(2)+2hxy+by^(2)=0 is 5 ti...

    Text Solution

    |

  20. The derivative of f(x)=3|2+x| at the point x0=-3 is

    Text Solution

    |