Home
Class 12
MATHS
The equatin 2x = (2n +1)pi (1 - cos x) ,...

The equatin `2x = (2n +1)pi (1 - cos x) ,` (where n is a positive integer)

A

has infinitely many real roots

B

has exactly one real root

C

has exactly `2n +2` real roots

D

has exactly `2n +3` real roots

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

Solve (x-1)^(n)=x^(n), where n is a positive integer.

Show that int_(0)^(n pi+v)|sin x|dx=2n+1-cos v, where n is a positive integer and ,0<=v

The value of the integral int_(0)^(a//2) sin 2n x cot x dx, where n is a positive integer, is

If cos x + sec x = 2, then what is cos ^(n) x + sec ^(n) x equal to, where n is a positive integer ?

If ((1+i)/(1-i))^x=1 then (A) x=2n+1 , where n is any positive ineger (B) x=4n , where n is any positive integer (C) x=2n where n is any positive integer (D) x=4n+1 where n is any positive integer

The sum of the digits in (10^(2n^(2)+5n+1)+1)^(2) (where n is a positive integer),is

The number non-negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4) le n (where n is a positive integer) is:

The number of non-negative integral solution x_(1)+x_(2)+x_(3)+x_(4)<=n (where n is a positive integer) is:

If U_(n)=int_(0)^( pi)(1-cos nx)/(1-cos x)dx, where n is positive integer or zero,then show that U_(n+2)+U_(n)=2U_(n+1). Hence,deduce that int_(0)^((pi)/(2))(sin^(2)n theta)/(sin^(2)theta)=(1)/(2)n pi

FIITJEE-MATHEMATICS -OBJECTIVE
  1. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  2. If x,y&gt;0, then the range of sin^(-1)(x/(1+x^2))+sin^(-1)((2y)/(1+y^...

    Text Solution

    |

  3. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

    Text Solution

    |

  4. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  5. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

    Text Solution

    |

  6. If sin x + cosec x + tan y + cot y =4 where x and y in [ 0 (pi)/(2)], ...

    Text Solution

    |

  7. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  8. The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + ...

    Text Solution

    |

  9. Consider a triange ABC, where B and C are (-a,0) and (a,0) respectivel...

    Text Solution

    |

  10. If sinx,cosx,tanxare in G.P., then cot^6x-cot^2x= (A) 0 (B) -1 (C) 1 (...

    Text Solution

    |

  11. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

    Text Solution

    |

  12. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  13. The value of lamda for which the equation (10 x -5) ^(2) + (10y-15) ^...

    Text Solution

    |

  14. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

    Text Solution

    |

  15. If sin x (1)+ sin x(2) + sin x (3) +…+ sin x (n) is

    Text Solution

    |

  16. Two paralel straight lines indined at an angle theta to x-axis where (...

    Text Solution

    |

  17. Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then ...

    Text Solution

    |

  18. If a and b be the segments of a focal chord and 4c be the latus rectum...

    Text Solution

    |

  19. sum (k =1) ^(89) log (e) tan ((pik)/(180)) is equal to

    Text Solution

    |

  20. The lengths of intercepts made by any circle on the coordinate axes ar...

    Text Solution

    |