Home
Class 12
MATHS
Number of solutions of the equation l...

Number of solutions of the equation
`log_(10) ( sqrt(5 cos^(-1) x -1 )) + 1/2 log_(10) ( 2 cos^(-1) x + 3) + log_(10)sqrt5 = 1 ` is

A

0

B

1

C

more than one but finite

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation log_(0.5)x=|x| is

The number of real solutions of the equation sqrt(1+cos 2x) = sqrt2 cos^-1 in [pi/2, pi) is

Solve the inequation log_(|x|)(sqrt((9-x^(2)))-x-1)ge1

Number of integral solution of the equation log_(sin x) sqrt(sin^(2)x)+ log_(cos x)sqrt( cos^(2)x)= , where x in [0,6pi] is

Solve the equation log_(3)(5+4log_(3)(x-1))=2

The value of x satisfying the equation x + log_(10) (1 + 2^x) = x log_10 5 + log_10 6 is

Solution(s) of the equation. 3x^2-2x^3 = log_2 (x^2 + 1) - log_2 x is/are

The domain of the function f(x)=log_(10)(sqrt(x-4)+sqrt(6-x)) is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

Solve the equation log_(((2+x)/10))7=log_((2/(x+1)))7 .

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The value of Sigma( r =1)^( infty) tan^(-1) ( 1/( r^(2) - 5r + 7)) ,...

    Text Solution

    |

  2. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

    Text Solution

    |

  3. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=0

    Text Solution

    |

  4. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  5. Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-...

    Text Solution

    |

  6. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  7. The range of values of p for which the equation sin cos^(-1) (cos (tan...

    Text Solution

    |

  8. Number of solutions of the equation log(10) ( sqrt(5 cos^(-1) x -1 ...

    Text Solution

    |

  9. Solve sin^(-1) x+ cos^(-1) x = sin^(-1) (3x -2)

    Text Solution

    |

  10. The set of values of x, satisfying the equation tan^2(sin^-1x) > 1 is ...

    Text Solution

    |

  11. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

    Text Solution

    |

  12. The value of the angle tan^(-1) ( tan 65^(@) - 2 tan 40^(@)) in degree...

    Text Solution

    |

  13. Prove that cotx - 2cot2x = tanx

    Text Solution

    |

  14. The value of Sigma(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7)) is equ...

    Text Solution

    |

  15. The range of the function , f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(...

    Text Solution

    |

  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  17. Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1...

    Text Solution

    |

  18. Number of values of x satisfying the equation cos ( 3 arc cos ( x-1)) ...

    Text Solution

    |

  19. Which one of the following function contains only one integer in its ...

    Text Solution

    |

  20. If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R "...

    Text Solution

    |