Home
Class 12
MATHS
If exp (sin^2x+sin^4x +sin^6 x........up...

If `exp (sin^2x+sin^4x +sin^6 x........`upto `oo)log_e 2` satisfies the equation `x^2 - 17x + 16= 0` then the value of `(2cos x)/(sinx+2cosx) ,(0 < x < pi/ 2)` is

A

`(1)/(2)`

B

`(3)/(2)`

C

`(5)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

If exp(sin^(2)x+sin^(4)x+sin^(6)x....... upto oo)log_(e)2 satisfies the equation x^(2)-17x+16=0 then the value of (2cos x)/(sin x+2cos x),(0

If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log_(e)2] satisfies the quadratic equation x^(2)-9x+8=0 , find the value of (sinx-cosx)/(sinx+cosx) .

If exp [(sin^(2)x+sin^(4) x +sin^(6)x+.... oo)" In" 2] satisfies the equation y^(2)-9y+8=0 , then the value of (cos x )/( cos x+ sin x ),0 lt x lt (pi)/(2) , is

If e^(( cos^2 x + cos^4x+ cos ^6 x + ……..oo ) log_e 2) satisfies the equation t^2 - 9t + 8=0 , then the value of ( 2 sin x)/( sin x + sqrt(3) cos x) ( 0 lt x lt (pi)/(2)) is

If e^((sin^(2)x+sin^(4)x+sin^(6)x+...oo)ln2) satisfies the equation x^(2)-9x+8=0 find the value of (cos x)/(cos x+sin x),0

If exp [sin^(2)x+sin^(4)x+sin^(6)x+….infty)ln 2] satisfies the equation y^(2)-9y+8=0 and the value of (cosx)/(cos x+sin x),0 lt x lt (pi)/(2) is (1)/(1+sqrt(k)) then the value of k is _________

Statement -1:If exp {("sin"^(2)x + "sin"^(4)x + "sin"^(6)x +…)"log"_(e)2] " satisfie the equation" x^(2)-9x +8=0, "then " ("cos"x)/("cos" x + "sin"x) = (sqrt(3)-1)/(2), 0 lt x lt (pi)/(2) . Statement-2: The sum "sin"^(2) x + "sin"^(4)x + "sin"^(6) x + .... oo is equal to "tan"^(2)x

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

    Text Solution

    |

  2. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |

  3. If exp (sin^2x+sin^4x +sin^6 x........upto oo)loge 2 satisfies the equ...

    Text Solution

    |

  4. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

    Text Solution

    |

  5. If exp { (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log(e) 16 ...

    Text Solution

    |

  6. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

    Text Solution

    |

  7. For eR let [x] denote the greatest integer le x. Largest natural numbe...

    Text Solution

    |

  8. If the ratio of sum to n terms of two A.P's is (5n+7): (3n+2), then th...

    Text Solution

    |

  9. If H1. H2...., Hn are n harmonic means between a and b(!=a), then the ...

    Text Solution

    |

  10. If three positive real numbers ,b ,c are in A.P. sich that a b c=4 , t...

    Text Solution

    |

  11. For 0 lt x lt pi the values of x which satisfy then relation 9^(1+|cos...

    Text Solution

    |

  12. The sum upto (2n+1) terms of the series a^(2)-(a+d)^(2)+(a+2d)^(2)-(a+...

    Text Solution

    |

  13. Value of (0.36)^(log(0.25) (1/3+1/3^2+1/3^3+....oo))=

    Text Solution

    |

  14. The sum of the series 1+2(1 +1/n)+ 3(1+1/n)^2+.... oo is given by

    Text Solution

    |

  15. If a, b, c are distinct real numbers such that a, b, c are in A.P. and...

    Text Solution

    |

  16. If 0 < theta, phi < pi/2 and x = sum(n=0)^oo sin^(2n) theta, y = sum(n...

    Text Solution

    |

  17. If a,b,c are in H.P. then a-(b)/(2),(b)/(2),c-(b)/(2) are in

    Text Solution

    |

  18. Sum to n terms of the series (1)/((1+x)(1+2x))+(1)/((1+2x)(1+3x))+(1)/...

    Text Solution

    |

  19. If a1,a2,...an are in H.P then the expression a1a2+a2a3+....+a (n-1)a...

    Text Solution

    |

  20. if the sum of the series 2+5/x+25/(x^2)+125/(x^3)+......... Is finite ...

    Text Solution

    |