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`

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

Number of solutions of the equation,[y+[y]]=2cos x is: (where y=1/3)[sin x+[sin x+[sin x]]] and []= greatest integer function) 0 (b) 1 (c) 2 (d) inftyo

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

RESONANCE DPP-JEE MAINS-All Questions
  1. If a,b,and c are three terms of an A.P such that a != b then (b-c)/...

    Text Solution

    |

  2. Least value of |z-2|+|z-4i| is

    Text Solution

    |

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

    Text Solution

    |

  4. Tangent is drawn at the point (xi ,yi) on the curve y=f(x), which ...

    Text Solution

    |

  5. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

    Text Solution

    |

  6. Let f(x) polynomial of degree 5 with leading coefficient unity such th...

    Text Solution

    |

  7. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

    Text Solution

    |

  8. If sin^2theta1+sin^2theta2+sin^2theta3=0, then which of the following ...

    Text Solution

    |

  9. The number of values of a for which equations x^3+a x+1=0a n dx 64+a x...

    Text Solution

    |

  10. If Sn=1^2+(1^2+2^2)+(1^2+2^2+3^2)+ upto n terms, then Sn=(n(n+1)^2(n+2...

    Text Solution

    |

  11. Let f(x) be a fourth differentiable function such f(2x^2-1)=2xf(x)AA x...

    Text Solution

    |

  12. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  13. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

    Text Solution

    |

  14. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  15. If alpha, beta, gamma be angles which a straighat line makes with the ...

    Text Solution

    |

  16. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

    Text Solution

    |

  17. lim(x->c) (loge[x])/x where [.] denotes the gif is

    Text Solution

    |

  18. The value of ("lim")(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s ...

    Text Solution

    |

  19. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  20. Consider the function f defined by f(x)=(0,x=0 or x is irrational 1/...

    Text Solution

    |