Home
Class 12
MATHS
If the expression exp {1+|cosx|+cos^(3...

If the expression
exp `{1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log_(e)4}`
satisfies the equation `y^(2)-20y+64=0" for "0ltxltpi`, then the set of value of x is

Text Solution

Verified by Experts

`(pi)/(2),(2pi)/(3),(pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -3 Subjective /JEE Advanced (Comprehension )|3 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -I Previous Year /JEE Main|19 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -2 (Level -II) Multiple Correct /JEE Advanced|9 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

If the expression exp {1+|cosx|+cos^(2)x+|cos^(3)x|+ . . . . oo)log_(e)4} satisfies the equation y^(2)-20y+64=0" for "0ltxltpi , then the set of value of x is

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 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 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 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 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

MOTION-SEQUENCE & SERIES -Exercise -3 Subjective /JEE Advanced
  1. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

    Text Solution

    |

  2. In a set of four number, the first three are in GP & the last three ar...

    Text Solution

    |

  3. Find the 4^(th) term of an H.P., whose 7^(th) term is 1/20 and 13^(th)...

    Text Solution

    |

  4. Find the sum of the n terms of the series whose nth term is (i) n(n+...

    Text Solution

    |

  5. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

    Text Solution

    |

  6. If the expression exp {1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log(e...

    Text Solution

    |

  7. The sum of the infinite series , 1^2- 2^2 / 5+ 3^2 / 5^2 - 4^2 / 5^3 +...

    Text Solution

    |

  8. Find the sum of the n terms of the sequence 1/(1+1^2+1^4)+2/(1+2^2+2^...

    Text Solution

    |

  9. Find the sum of the first n terms ofthe sequence : 1+2(1+1/n)+3(1+1/n)...

    Text Solution

    |

  10. Find the n term and the sum to n terms of the sequence: (i) 1+5+13+29+...

    Text Solution

    |

  11. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  12. If a1,a,a3...an are in A.P then prove that a1^2-a2^2+a3^2-a4^2+....a(2...

    Text Solution

    |

  13. If a, b, c, d, e be 5 numbers such that a, b, c are in AP, b, c, d, ar...

    Text Solution

    |

  14. Using the relation A.M ge G.M. Prove that (i) tan theta +cot theta g...

    Text Solution

    |

  15. Prove that b^2c^2+c^2a^2+a^2b^2gtabc(a+b+c), where a,b,c gt 0 .

    Text Solution

    |

  16. The arithmetic mean of two numbers is 6 and their geometric mean G and...

    Text Solution

    |

  17. In a circle of radius R a square is inscribed, then a circle is inscri...

    Text Solution

    |

  18. 9. Find three numbers a,b,c between 2 & 18 such that; (G) their sum is...

    Text Solution

    |

  19. Two distinct, real infinite geometric series each have a sum of 1 and ...

    Text Solution

    |

  20. One of the roots of the equation 2000x^6 +100x^5 +10x^3+x-2=0 is the f...

    Text Solution

    |