Home
Class 12
MATHS
If a,b are positive quantitis and if a(1...

If a,b are positive quantitis and if `a_(1)=(a+b)/(2), b_(1)=sqrt(a_(1)b) , a_(2)=(a_(1)+b_(1))/(2), b_(2)=sqrt(a_(2)b_(1))` and so on then

A

`a_(oo)=sqrt(b^(2)-a^(2))/(cos^(-1)(a/b))`

B

`a_(oo)=sqrt(b^(2)-a^(2))/(cos^(-1)(a/b))`

C

`b_(oo)=sqrt(a^(2)+b^(2))/(cos^(-1)(b/a))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|72 Videos

  • INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

  • LIMITS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

if quad /_=[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

if Delta=det[[a_(1),b_(1),c_(1)a_(2),b_(2),c_(2)a_(3),b_(3),c_(3)]]

If the system of equations a_(1)x+b_(1)y+c_(1),a_(2)x+b_(2)y+c_(2)=0 is inconsistent,(a_(1))/(a_(2))=(b_(1))/(b_(2))!=(c_(1))/(c_(2))

The value of the determinant Delta = |(1 + a_(1) b_(1),1 + a_(1) b_(2),1 + a_(1) b_(3)),(1 + a_(2) b_(1),1 + a_(2) b_(2),1 + a_(2) b_(3)),(1 + a_(3) b_(1) ,1 + a_(3) b_(2),1 + a_(3) b_(3))| , is

Let S={a+sqrt(2)b:a,b in Z}. Then,prove that an operation * on S defined by (a_(1)+sqrt(2)b_(1))*(a_(2)+sqrt(2)b_(2))=(a_(1)+a_(2))+sqrt(2)(b_(1)+b_(2)) for all a_(1),a_(2),b_(2)in Z is a binary operation on S.

OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Chapter Test
  1. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) the value of x^(100)+y^(10...

    Text Solution

    |

  2. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

    Text Solution

    |

  3. If a,b are positive quantitis and if a(1)=(a+b)/(2), b(1)=sqrt(a(1)b) ...

    Text Solution

    |

  4. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  5. If a(1),a(2),a(3),….a(n) is a.p with common difference d then tan{tan...

    Text Solution

    |

  6. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

    Text Solution

    |

  7. Which of the following angles is greater? theta1=sin^(-1)(4/5)+sin^(-...

    Text Solution

    |

  8. The value of cos[1/2 cos^(-1){cos(sin^(-1)((sqrt63)/(8)))}] is

    Text Solution

    |

  9. Solve tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1)"\ "8/(31)

    Text Solution

    |

  10. If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)...

    Text Solution

    |

  11. The sum of the two angles cot^(-1) 3 and cosec^(-1) sqrt(5) is

    Text Solution

    |

  12. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

    Text Solution

    |

  13. Number of integral solutions of the equation 2 sin^-1sqrt(x^2-x +1 )+ ...

    Text Solution

    |

  14. cos{cos^(-1)(-1/7)+sin^(-1)(-1/7)} =

    Text Solution

    |

  15. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  16. sin[1/2cos^(- 1)4/5]

    Text Solution

    |

  17. lf x >=0 and theta = sin^(-1)x + cos^(-1)x-tan^(-1) x, then

    Text Solution

    |

  18. If tan^(-1)a+tan^(-1)b+tan^(-1)c=pi then prove tjhat a+b+c=abc

    Text Solution

    |

  19. The value of cot(c o s e c^(- 1)5/3+tan^(- 1)(2/3))i s

    Text Solution

    |

  20. Prove the following : sin^(-1)4/5+2\ tan^(-1)1/3=pi/2

    Text Solution

    |