Home
Class 12
MATHS
Solve for x , if [cos^(-1)x]=[sin^(-1)x]...

Solve for `x ,` if `[cos^(-1)x]=[sin^(-1)x]` (where [.] represents greatest integral part function). `[-1,cos1)` (b) `cos1,sin1)` `[-1,sin1)` (d) `[sin1,1]`

Promotional Banner

Topper's Solved these Questions

  • BOARD PAPER SOLUTIONS

    RESONANCE DPP|Exercise All Questions|70 Videos

  • DETERMINANTS

    RESONANCE DPP|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

sin[cos^(-1)x]=cos[sin^(-1)x]

If [sin^(-1)x]^(2)-2[sin^(-1)x]+1le0 (where, [.] represents the greatest integral part of x), then

Solve for x, sin[sin^(-1)(1/5)+cos^(-1)x]=1

The range of the function f(x)=sin(sin^(-1)[x^(2)-1]) is (where[*] represents greatest integer function)

Consider the function f(x)=cos^(-1)([2^(x)])+sin^(-1)([2^(x)]-1) , then (where [.] represents the greatest integer part function)

" The range of the function "f(x)=sin(sin^(-1)[x^(2)-1])" is (where "[" .] represents greatest integer function) "

Solve sin^(-1) x cos^(-1) x = sin^(-1) (3x -2)

If [sin^(-1)x]^(2)+[sin^(-1)x]-2 le 0 (where, [.] represents the greatest integral part of x), then the maximum value of x is

If [sin^(-1)(cos^(-1)(sin^(-1)(tan^(-1)x)))]=1 where [*] denotes the greatest integer function,then x in

RESONANCE DPP-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. f^(prime)(l+3)= 0 (b) 2/5 (c) -2/5 (d) -4/5

    Text Solution

    |

  2. Comprehension (for Q. No. 1 to 3) Let f(x)=sin^(-1)(1-x^2)/(1+x^2)+tan...

    Text Solution

    |

  3. Solve for x , if [cos^(-1)x]=[sin^(-1)x] (where [.] represents greates...

    Text Solution

    |

  4. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " th...

    Text Solution

    |

  5. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

    Text Solution

    |

  6. Let f(x)=[(sinx)/x]+[(2sin2x)/x]+.....+[(10sin10 x)/x] (where [.] is t...

    Text Solution

    |

  7. The sum of the series x/(1)+(2x^2)/(2)+(3x^3)/(3)+ is x e^x b. -x e...

    Text Solution

    |

  8. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

    Text Solution

    |

  9. If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...

    Text Solution

    |

  10. Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...

    Text Solution

    |

  11. Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2))...

    Text Solution

    |

  12. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

    Text Solution

    |

  13. If u=f(x),v=g(x), then the value of D^*(udotv) is (D^*u)v+(D^*v)u b. u...

    Text Solution

    |

  14. Let f(x)={((x-4)/(|x-4|)+a ,x<4),(a+b ,x=4),((x-4)/(|x-4|)+b ,x >4):} ...

    Text Solution

    |

  15. If f(x)=x^3+bx^2+cx+d and 0 < b^2 < c, then in (-oo,oo), (a) f(x) is...

    Text Solution

    |

  16. The point(s) of minimum of function, f(x)=4x^3-x|x-2|,x in [0,3] is x=...

    Text Solution

    |

  17. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive func...

    Text Solution

    |

  18. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

    Text Solution

    |

  19. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

    Text Solution

    |

  20. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

    Text Solution

    |