Home
Class 11
MATHS
The least difference between the roots o...

The least difference between the roots of `4 cosx(2-3 sin^(2)x)+(cos2x+1)=0,0 le x le (pi)/(2)` is

A

`(pi)/(2)`

B

`(pi)/(3)`

C

`(pi)/(6)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise INVERSE TRIGONOMETRIC FUNCTIONS|28 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PERIOICITY, EXTREME VALUES AND GRAPHS|14 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

If 4 sin^(2)x-8 sinx+3 le 0,0 le x le 2pi, x in

The angle between the pair of lines y^(2)-xy"cosec" theta-x^(2)=0,0 le theta le(pi)/(2) is

The area of the region between y=cos x and y=sin 2x in 0le x le (pi)/(2) is

The number of solutions of cos x = |1 + sin x| , 0 le x le 3 pi is

The area between the curves y=tanx,y=cotx and X-axis in 0le x le (pi)/(2) is

The difference between the greatest and least value of the function f(x) = sin 2x -x on [-pi//2,pi//2] is

The area under the curve y=|cosx-sinx|, 0 le x le (pi)/(2) and above x-axis is

The number of solutions 2(cosx+cos2x)+sin2x(1+2cosx)=2sinx,(-pi lexle pi) is

AAKASH SERIES-REVISION EXERCISE-THRIGONOMETRIC EQUATIONS
  1. If 32 tan^(8) theta=2 cos^(2) alpha-3 cos alpha and 3 cos 2 theta=1, t...

    Text Solution

    |

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

    Text Solution

    |

  3. Nuber of distinct solutions of sec theta+ tan theta= sqrt(3), 0 le the...

    Text Solution

    |

  4. The solution of sin^(4) x=1+cos^(6) x is x=

    Text Solution

    |

  5. If 4 sin^(2)x-8 sinx+3 le 0,0 le x le 2pi, x in

    Text Solution

    |

  6. The solution set of sin x lt 1 is

    Text Solution

    |

  7. The solution set of cos x gt 0 is

    Text Solution

    |

  8. The values of x between 0 and 2pi satsifying sinx sqrt(8cos^(2)x)=1 ar...

    Text Solution

    |

  9. If Sin^(4)2x+Cos^(4)2x=Sin2xCos2 then x=

    Text Solution

    |

  10. The number of solution of sqrt(6-cos+7 sin^(2)x)+ cosx=0

    Text Solution

    |

  11. If |Cosx|^(sin^(2)x-(3)/(2)sinx+(1)/(2))=1 then x=

    Text Solution

    |

  12. The least difference between the roots of 4 cosx(2-3 sin^(2)x)+(cos2x+...

    Text Solution

    |

  13. Common roots of the equations of cos2x+sin2x=cotx and 2cos^(2)x+ cos^(...

    Text Solution

    |

  14. The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alph...

    Text Solution

    |

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

    Text Solution

    |

  16. If sin alpha cos beta=-(1)/(2), then cos alpha sin beta may be belong ...

    Text Solution

    |

  17. If x=X cos theta- Y sin theta, y= X sin theta+ Y cos theta and x^(2)+4...

    Text Solution

    |

  18. If 20 sin^(2) alpha+21 cos alpha-24=0 where (7pi)/(4) lt alpha lt 2pi ...

    Text Solution

    |

  19. A : The general solution of sin x = -1 is n pi + (-1)^(n)(3pi)/(2), n ...

    Text Solution

    |

  20. Assertion (A) : The equation Sin^(2)x+Cos^(2)y=2Sec^(2)z is only solva...

    Text Solution

    |