Home
Class 12
MATHS
Number of solutions of the equation, [y+...

Number of solutions of the equation, `[y+[y]]=2cosx` is: (where `y=1//3)[sinx+[sinx+[sinx]]]` and `[]=` greatest integer function) 0 (b) 1 (c) 2 (d) `oo`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation [y+[y]]=2 cosx, where y=(1)/(3)[sinx+[sinx+[sinx]]] (where [.] denotes the greatest integer function) is

Find the number of solutions of the equations y=|sinx| and x^(2)+y^(2)=1.

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1

General solution of the differential equation (cosx)(dy)/(dx)+y.sinx=1 is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

Number of solutions of the equation x^(2)-2=[sinx] , where [.] denotes the greatest integer function, is

Find the domain of the function y=sinx+cosx

The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

RESONANCE DPP-JEE MAINS-All Questions
  1. The graphs of y=s in x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  2. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

    Text Solution

    |

  3. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

    Text Solution

    |

  4. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

    Text Solution

    |

  5. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

    Text Solution

    |

  6. Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where []...

    Text Solution

    |

  7. If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair...

    Text Solution

    |

  8. Number of real solutions of the equation x^2+(x/(x-1))^2=8 are 3 (b) 4...

    Text Solution

    |

  9. (p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

    Text Solution

    |

  10. The equation of the image of the circle x^2+y^2+16 x-24 y+183=0 in the...

    Text Solution

    |

  11. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |

  12. Which of the following function is not periodic, where [.] denotes g...

    Text Solution

    |

  13. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv...

    Text Solution

    |

  14. ABC is a triangle. The coordinates of whose vertices are (-2,4),(10 ,-...

    Text Solution

    |

  15. If : A=[1 2 0-1 1 2 2-1 1],t h e nA d j(A)= [3 5-1-2 1 5 4-2 3] (b) ...

    Text Solution

    |

  16. Which of the following is false? (p=>q)hArr(~ a=>~ p) b. pvv(~ p) is ...

    Text Solution

    |

  17. If A=[1ta n x-t a n x1],t h e nA^T A^(-1) is [ cos2x s in2x-s in2x cos...

    Text Solution

    |

  18. If |x3 6 3 6x6x3|=|2x7x7 2 7 2x|=|4 5x5x4x4 5|=0,t h e n^(prime)x^(pri...

    Text Solution

    |

  19. The matrix X for which [1-4 3-2]X=[-16-6 7 2] [-2 4-3 1] (b) [-1/5 ...

    Text Solution

    |

  20. The inverse of a skew symmetric matrix of odd order is 1)a symmetric ...

    Text Solution

    |