Home
Class 12
MATHS
Let [x] be the greatest integer lex . Th...

Let [x] be the greatest integer `lex` . Then the number of points in the interval `(-2,1)`, where the function `f(x)+|[x]|+sqrt(x-[x]`. is discontinuous , is _____.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=[x^3 - 3], where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7

Let f(x)=[x^(2)]sin pi x , x in R , the number of points in the interval (0,3] at which the function is discontinuous is _

Let [t] denote the greatest integer lt t . The number of points where the function f(x) = [x]abs(x^2-1) + sin (pi/([x] + 3)) - [x + 1], x in (-2, 2) is not continuous is _________.

Let f(x)=[2x^(3)-5] I.denotes the greatest integer function.Then number of points in (1,2) where the function is discontinuous, is/are

Let f(x)=[2x^3-6] , where [x] is the greatest integer less than or equal to x. Then the number of points in (1,2) where f is discontinuous is

If [.] denotes the greatest integer function then the number of points where f(x)=[x]+[x+(1)/(3)]+[x+(2)/(3)] is Discontinuous for x in(0,3) are

Let g be the greatest integer function. Then the function f(x)=(g(x))^(2)-g(x) is discontinuous at

Let f:Rrarr R be given by f(x)=(x-[x])sin^2pix.The number of points in the interval (-3,3] at which the function is not differentiable is ____________ ([.] donotes greatest integer function)...........

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let the positive number a1,a2, a3,a4 and a5 be in a G.P. Let their mea...

    Text Solution

    |

  2. If int(-0.15)^0.15 |100x^2-1|dx=k/(3000), then k is equal to .

    Text Solution

    |

  3. Let [x] be the greatest integer lex . Then the number of points in the...

    Text Solution

    |

  4. The number of relation , on the set {1,2,3} containing (1,2) and (2,3)...

    Text Solution

    |

  5. Let P is the point of intersection of the line (x+3)/3=(y+2)/1=(1-z)/2...

    Text Solution

    |

  6. 96 cos(pi/33)cos((2pi)/33)cos((4pi)/33)cos((8pi)/33)cos((16pi)/33) is ...

    Text Solution

    |

  7. A line segment AB of length lamda moves such that the points A and B r...

    Text Solution

    |

  8. Let f be a differentiable function such that x^2 f(x) -x=4 int0^x tf(t...

    Text Solution

    |

  9. If A is a 3xx3 matrix and abs(A)=2, then abs(3 adj(abs(3A)A^2) is equa...

    Text Solution

    |

  10. The shortest distance between the lines (x+2)/1=y/-2=(z-5)/2 and (x-4)...

    Text Solution

    |

  11. Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2, -5), and it...

    Text Solution

    |

  12. Let the first term alpha and the common ratio r of a geometric progres...

    Text Solution

    |

  13. Let the complex number z =x +iy be such that (2z-3i)/(2z+i) is purely ...

    Text Solution

    |

  14. Let O be the origin and the position vector of the point P be -hati-2h...

    Text Solution

    |

  15. The negation of the statement (pvvq) wedge (qvv(~r)) is

    Text Solution

    |

  16. An are PQ of a circle subtends a right angle at its centre O. The mid ...

    Text Solution

    |

  17. If I(x)=int e^(sin^2 x) (cosx sin2x-sinx)dx and I(0)=1, then I(pi/3) i...

    Text Solution

    |

  18. If the coefficient of x^7 in (ax-1/(bx^2))^13 and the coefficient of x...

    Text Solution

    |

  19. Let the ellipse E: x^2 + 9y^2 = 9 intersect the positive x- and y-axes...

    Text Solution

    |

  20. The slope of tangent at any point (x, y) on a curve y= y(x) is ,(x^2+y...

    Text Solution

    |