Home
Class 11
MATHS
If a,b in [0,2pi] and the equation x^(2)...

If `a,b in [0,2pi]` and the equation `x^(2)+4+3sin(ax+b)-2x=0` has at least one solution, then the value of `(a+b)` can be

A

`(7pi)/2`

B

`(5pi)/2`

C

`(9pi)/2`

D

`(3pi)/2`

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

0leale3,0leble3 and the equation x^(2)+4+3cos(ax+b)=2x has atleast one solution then the value of a+b

If one root of x^2+ax +8=0 is 4 and the equation x^2 + ax +b=0 has equal roots then the value of b=

If the equation cot^(4) x - 2 cosec^(2) x + a^(2) = 0 has at least one solution, then the sum of all possible ntergral values of a is equal to

If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one root in

If the equation x^(2) + 12 + 3 sin (a + bx) + 6x = 0 has at least one real solution, when a, b in [0, 2 pi] , then the value of a = 3b is (n in Z)

The equation tan^(4) x - 2 sec ^(2) x + a = 0 will have at least one solution if

If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one root in

For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

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

    |