Home
Class 12
MATHS
In the following, [x] denotes the greate...

In the following, [x] denotes the greatest integer less than or equal to x. Match the functions in Column I with the properties Column II.
`{:(,"Column I",,"Column II"),((A),x|x|,(p),"continuous in (-1, 1)"),((B),sqrt(|x|),(q),"differentiable in (-1, 1)"),((C),x + [x],(r),"strictly increasing (-1, 1)"),((D),|x-1|+|x + 1|,(s),"not differentiable at least at one point in (-1, 1)"):}`

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

In the following, [x] denotes the greatest integer less than or equal to x. {:(,"Column I",,"Column II"),(A,x|x|,p,"continuous in (-1, 1)"),(B,sqrt(|x|),q,"differentiable in (-1, 1)"),(C,x + [x],r,"strictly increasing (-1, 1)"),(D,|x-1| + |x + 1|", in"(-1,1),s,"not differentiable atleast at one point in (-1, 1)"):}

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

In the following [x] denotes the greatest integer less than for equal to x. Match the functions in Column I with the properties in Column II and indicate your answer by darkening the appropriate bubles in the 4 xx 4 matrix.

Let [x] denote the greatest integer less than or equal to x. If x=(sqrt(3)+1)^(5), then [x] is equal to

If [x] denotes the greatest integer less than or equal to x, then the value of lim_(x rarr1)(1-x+[x-1]+[1-x]) is

If I=int_(-1)^(1) {[x^(2)]+log((2+x)/(2-x))}dx where [x] denotes the greatest integer less than or equal to x, the I equals

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

RESONANCE DPP-JEE MAINS-All Questions
  1. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  2. If A(-4,0,3)a n dB(14 ,2,-5), then which one of the following points l...

    Text Solution

    |

  3. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  4. A straight line L cuts the lines A B ,A Ca n dA D of a parallelogram A...

    Text Solution

    |

  5. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  6. Two adjacent sides OA and OB of a rectangle OACB are represented by ve...

    Text Solution

    |

  7. If tan25^0=a , then the value of (tan205^0-t a n 115^0)/(tan245^0+t a ...

    Text Solution

    |

  8. If vec a and vec b are non-zero and non-collinear vectors, then ve...

    Text Solution

    |

  9. Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Which of the following is not a r...

    Text Solution

    |

  10. The equation of a line passing through the point vec a parallel to...

    Text Solution

    |

  11. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  12. A non zero vector veca is parallel to the line of intersection of the ...

    Text Solution

    |

  13. The value of the expression ((sin3theta)/(sintheta))^2-((cos3theta)/(c...

    Text Solution

    |

  14. If 1+^n C1costheta+^n C2cos2theta+........ +^n Cn equals

    Text Solution

    |

  15. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  16. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

    Text Solution

    |

  17. If 1/|a| > 1/|b|, then |a| < b, where a and b are non-zero real number...

    Text Solution

    |

  18. Draw the graph of the function: f(x)=||x-2|-3|

    Text Solution

    |

  19. The coefficient of x^(n) in the expansion of (1-9 x + 20 x^(2))^(-1...

    Text Solution

    |

  20. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

    Text Solution

    |