Home
Class 12
MATHS
Let us define a region R is xy-plane as ...

Let us define a region R is xy-plane as a set of points (x,y) satisfying `[x^2]=[y]` (where [x] denotes greatest integer `le x)`,then the region R defines

A

a parabola whose axis is horizontal

B

a parabola whose axis is vertical

C

integer point of the parabola`y=x^2`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KVPY 2021

    KVPY PREVIOUS YEAR|Exercise PART II MATHEMATICS|4 Videos
  • MOCK TEST 10

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Find the values of x graphically satisfying [x]-1+x^(2)le0 where [.] denotes the greatest integer function.

Let f:R rarr A defined by f(x)=[x-2]+[4-x], (where [] denotes the greatest integer function).Then

The function of f:R to R , defined by f(x)=[x] , where [x] denotes the greatest integer less than or equal to x, is

Let f:(1,3) to R be a function defined by f(x)=(x[x])/(1+x) , where [x] denotes the greatest integer le x . Then the range of f is :

If f(x)=2[x]+cos x, then f:R rarr R is: (where [] denotes greatest integer function)

Let P(x,y) be a moving point in the x-y plane such that [x].[y] = 2, where [.] denotes the greatest inte- ger function, then area of the region containing the points P(x,y) is equal to :

Find the values of x graphically which satisfy, -1le[x]-x^(2)+4le2 , where [.] denotes the greatest integer function.

KVPY PREVIOUS YEAR-MOCK TEST 1-EXERCISE
  1. Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+co...

    Text Solution

    |

  2. If the focus of the parabola (y - k)^2 = 4(x - h) always lies between ...

    Text Solution

    |

  3. Let us define a region R is xy-plane as a set of points (x,y) satisfy...

    Text Solution

    |

  4. The chance that doctor A will diagnose disease X correctly is 60%.The ...

    Text Solution

    |

  5. Let f:{x,y,z}rarr{1,2,3} be a one-one mapping such that only one of th...

    Text Solution

    |

  6. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  7. The equation 2cos^2x/2sin^2x=x^2+x^(-2);0<xlt=pi/2 has no real solutio...

    Text Solution

    |

  8. The value of int(pi)^(2pi)[2sinx]dx where [.] represents the greatest ...

    Text Solution

    |

  9. If f(x)=x^3+3x^2+6x+2sinx then the equation 1/(x-f(1))+2/(x-f(2))+3/(x...

    Text Solution

    |

  10. If f and g are two continuous functions being even and and odd, respec...

    Text Solution

    |

  11. A determinant of the second order is made with the elements 0 and 1. I...

    Text Solution

    |

  12. Let f:[0,oo)vec[0,oo)a n dg:[0,oo)vec[0,oo) be non-increasing and non-...

    Text Solution

    |

  13. The number of such points (a+1,sqrt3a), where a is any integer, lying...

    Text Solution

    |

  14. Ifx^4+px^3+qx^2+rx+5=0 has four positive roots,then the minimum value ...

    Text Solution

    |

  15. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  16. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  17. The value of Lt(xrarr0){(int0^(x^2) sec^2tdt)/(xsinx)} is (A) 0 (B) 3 ...

    Text Solution

    |

  18. Tangents are drawn to the circle x^2+y^2=50 from a point 'P' lying on ...

    Text Solution

    |

  19. LEt F: R->R is a differntiable function f(x+2y) =f(x) + f(2y) +4xy for...

    Text Solution

    |

  20. If |z-1|+|z+3|<=8, then the range of values of |z-4| is

    Text Solution

    |