Home
Class 11
MATHS
Sum of roots of the equation x ^(4) - 2 ...

Sum of roots of the equation `x ^(4) - 2 x ^(2) sin ^(2)""(pi x)/(2) + 1 = 0 ` is

A

0

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE- IV (More than one correct answerType Questions)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE- IV (More than one correct answer Type Questions)|1 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-III (INTEGER TYPE QUESTIONS )|1 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

The sum of the roots of the equation 3x^(2) - 7x + 11 = 0

The common roots of the equations 2 sin^(2) x + sin ^(2)2 x = 2 and sin 2 x + cos 2 x = tan x is

IF the sum of the squares of the roots of the equation x^2 - ( sin alpha - 2)x-(1 + sin alpha ) = 0 is least , then alpha =

The number of roots of the equation (3+cosx)^(2)=4-sin^(8)x, x in [0,5pi]

If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I then the root is

The number of roots of the equation |sin x cos x| + sqrt(2 + tan^(2) x + cot ^(2) x) = sqrt(3), " where " x in [0, 4 pi] is

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-LECTURE SHEET (EXERCISE- IV (Straight Objective Type Questions)
  1. The number of distinct real roots of |(sinx, cosx, cosx),(cosx, sinx, ...

    Text Solution

    |

  2. If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)t...

    Text Solution

    |

  3. The number of all possible values of theta where 0 lt theta lt pi for ...

    Text Solution

    |

  4. Sum of roots of the equation x ^(4) - 2 x ^(2) sin ^(2)""(pi x)/(2) + ...

    Text Solution

    |

  5. sinx+cosx=y^(2)-y+a has no value of x for any value of y if a belongs ...

    Text Solution

    |

  6. The number of non similar isosceles possible triangle's such that tan...

    Text Solution

    |

  7. If sin theta, 1, cos 2 theta are in G.P. then the general values of ...

    Text Solution

    |

  8. Let alpha and beta be any two positive values of x for which 2 cos x,|...

    Text Solution

    |

  9. The value of k if the equation 2cosx +cos2kx=3 has only one solution i...

    Text Solution

    |

  10. If a,b in [0,2pi] and the equation x^(2)+4+3sin(ax+b)-2x=0 has at leas...

    Text Solution

    |

  11. Find all values of x in (-pi,pi) satisfying the equation 8^(1+cosx+cos...

    Text Solution

    |

  12. If exp [(sin^(2)x+sin^(4)x+sin^(6)x+……………."to"oo)"In"2] is a root of t...

    Text Solution

    |

  13. The general solution of the equation (1-sinx+sin^(2)x...+(-1)^(n)sinx....

    Text Solution

    |

  14. Let S = [ a in N,a le 100] . If the equation [Tan^(2)x] - Tan x = a = ...

    Text Solution

    |

  15. The number of values of y in [-2pi,2pi] satisfying the equation |sin2x...

    Text Solution

    |

  16. The total number of solutions of sin[x]=cos{x} (where {.} denotes the ...

    Text Solution

    |