Home
Class 11
MATHS
The number of solution of the equation c...

The number of solution of the equation `cos^(-1)((1+x^(2))/(2x))-cos^(-1)x=(pi)/2+sin^(-1)x` is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II LECTURE SHEET (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|6 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II LEVEL-III LEVEL -I (MAIN) SINGLE ANSWER ANSWER TYPE QUESTIONS)|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

The number of solutions of the equations 2(sin^(-1)x)^(2)-5sin^(-1)x+2=0 is

The number of solution of the equation sin x = x^(2) + x + 1

The number of solutions of the equation cos^(2) (x + (pi)/( 6)) + cos ^(2) x - 2 cos ( + (pi)/( 6)) co ""(pi)/( 6) = sin ^(2) (pi)/( 6) in interval ((-pi)/( 2), (pi)/( 2)) is _____

The sum of the solutions of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^(-1)sqrt(x^(2)+x)=(3pi)/2 is

The number of solutions of the equation 1+e^(cot^(2)x)=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^(4)x) for x in (0,5pi)

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are

The solution set of the equation 2cos^(-1)x=cot^(-1)((2x^(2)-1)/(2xsqrt(1-x^(2)))) is

AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. Range of tan^(-1)((2x)/(1+x^(2))) is

    Text Solution

    |

  2. If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha ...

    Text Solution

    |

  3. There exists a positive real number x satisfying cos(tan^(-1)x)=x. The...

    Text Solution

    |

  4. If "tan"^(-1)(sqrt(1+x^(2))-1)/x=4^(@) then

    Text Solution

    |

  5. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=(pi...

    Text Solution

    |

  6. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

    Text Solution

    |

  7. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

    Text Solution

    |

  8. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x, then x =

    Text Solution

    |

  9. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

    Text Solution

    |

  10. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

    Text Solution

    |

  11. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^(2))/(x^(4)+2x^(2)+3...

    Text Solution

    |

  12. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

    Text Solution

    |

  13. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

    Text Solution

    |

  14. If sin^(-1)a+sin^(-1)b+sin^(-c)=pi, then the value of asqrt((1-a^(2)))...

    Text Solution

    |

  15. If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, then x in

    Text Solution

    |

  16. f(x)=tan^(-1)x+tan^(-1)(1/x), g(x)=sin^(-1)x+cos^(-1)x are identical f...

    Text Solution

    |

  17. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

    Text Solution

    |

  18. If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=

    Text Solution

    |

  19. The value of tan^(-1)((x cos theta)/(1-x sin theta))-cot^(-1)((cos the...

    Text Solution

    |

  20. If the equation x^(3)+bx^(2)+cx+1=0, (bltc) has only one real root alp...

    Text Solution

    |