Home
Class 12
MATHS
Consider the function y=log(a)(x+sqrt(x^...

Consider the function `y=log_(a)(x+sqrt(x^(2)+1)),agt0,ane1`. The inverse of the function

A

does not exist

B

is `x=log_((1)/(a))(y+sqrt(y^(2)+1))`

C

is `x=sinh` (yIna)

D

is `x=cosh(-y" In "(1)/(a))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Consider the functin y= log_(a) (x + sqrt(x^(2) +1)). a gt 0, a ne 1 . The inverse of the function

Integrate the function (1)/(sqrt(x^(2)-1))

The function f (x) = log (x+ sqrt(x^(2) +1)) is-

Consider the functions f_(1)(x)=x,f_(2)(x)=2+log_(e )x, x gt 0 . The graphs of the functions intersect

Integrate the functions (4x+2)sqrt(x^(2)+x+1)

Integrate the functions 1/(sqrt(ax-x^(2)))

Integrate the function (x+1)/(sqrt(x^(2)+2x+3))

The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

Function f(x)=log(x^3+sqrt1+x^6) is

Integrate the functions (sin^(-1)x)/(sqrt(1-x^(2)))

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  2. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  3. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  4. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  5. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  6. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

  7. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  8. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  9. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  10. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  11. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  12. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  13. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  14. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  15. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  16. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |

  17. On the occasion of Dipawali festival each student of a class sends gre...

    Text Solution

    |

  18. The area of the triangle formed by the intersectionf of a line paralla...

    Text Solution

    |

  19. A hyperbola, having the transverse axis of length 2sintheta is confoca...

    Text Solution

    |

  20. Consider the function y=log(a)(x+sqrt(x^(2)+1)),agt0,ane1. The inverse...

    Text Solution

    |