Home
Class 12
MATHS
If sin theta,sqrt(2) (sintheta + 1),6 si...

If `sin theta,sqrt(2) (sintheta + 1),6 sin theta +6` are in GP, than the fifth term is

A

81

B

`82sqrt2`

C

`162`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

"If cos" 2 theta, 1 "and sin" theta "are in GP., then "theta =

cos theta sqrt(1-sin^(2)theta)=

If 1/6 sin theta, cos theta and tan theta are in G.P. then the general solution for theta is

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta+sin^6theta=?

If 6sin^(2)theta - sin theta = 1 and 0 le theta le pi , what is the value of sin theta ?

Solve sin 6 theta=sin 4 theta-sin 2 theta .

If sin^6 theta + cos^6 theta + k sin^2 2theta =1 , then k is equal to :

If 2 cos theta + sin theta =1 then 7 cos theta + 6 sin theta is equal to

If sintheta+costheta=sqrt(2)sin(90^@-theta) , determine cottheta .

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
  1. In a set of four numbers, the first three are in G.P. and the last thr...

    Text Solution

    |

  2. Find a three digit numberwhose consecutive digits form a GP. If we sub...

    Text Solution

    |

  3. If sin theta,sqrt(2) (sintheta + 1),6 sin theta +6 are in GP, than the...

    Text Solution

    |

  4. If sumn ,(sqrt(10))/3sumn^2,sumn^3 are in GP, then the value of n is

    Text Solution

    |

  5. If n!,3xxn! and (n+1)! are in GP, then n!,5xxn! And (n+1)! are in

    Text Solution

    |

  6. the lengths of three unequal egdes of a rectangular solids block a...

    Text Solution

    |

  7. If A=1+r^a+r^(2a)+...oo=a and B=1+r^b+r^(2b)+...oo=b then a/b is equal...

    Text Solution

    |

  8. The sum of an infinite geometric series is 2 and the sum of the geomet...

    Text Solution

    |

  9. Three numbers are in G.P. whose sum is 70. If the extremes be each ...

    Text Solution

    |

  10. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

    Text Solution

    |

  11. if (a,b) , (c,d) , (e,f)are the vertices of a triangle such that a, c,...

    Text Solution

    |

  12. if x >0 , and log2 x + log2 (x^(1/2)) + log2 (x^(1/4))+ ------------ =...

    Text Solution

    |

  13. If the p^(t h)a n d q^(t h) terms of a G.P. are q a n d p respectively...

    Text Solution

    |

  14. The number of terms common between the series 1+2+4+8+ .......to 100 t...

    Text Solution

    |

  15. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

    Text Solution

    |

  16. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

    Text Solution

    |

  17. a, b, c are the first three terms of geometric series. If the H.M. of ...

    Text Solution

    |

  18. Let there be a GP whose first term is a and the common ratio is r. If ...

    Text Solution

    |

  19. If 0.bar(27), x and 0.bar(72) are in H.P. , then x must be :

    Text Solution

    |

  20. The following consecutive terms (1)/(1+sqrt(x)),(1)/(1-x),(1)/(1-sqrt(...

    Text Solution

    |