Home
Class 12
MATHS
The area bounded by the graph y=[x-3], t...

The area bounded by the graph y=[x-3], the X-axis and the lines x=-2 and x=3 is ([.] denotes the greatest integer function)

A

7 sq. units

B

15 sq. units

C

21 sq. units

D

28 sq. units

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the graph x=|x-3|, thee X-axis and the lines x=-2 and x=3 is ([.] denotes the greatest integer function)

The area bounded by the curve y = x^(3) , X-axis and the lines x = 1, x = 3 is

Area bounded by the curve y = log x, the X-axis and the line x = 1, x = 3 is

Area bounded by the parabola 3y=x^(2) , the X-axis and the lines x = 2, x = 3 is

The area bounded by the curve y = x^(2) , X-axis and the lines x = 1, x = 3 is

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

If f(x)=[2x], where [.] denotes the greatest integer function,then

The area of the region bounded by the curve y=2x+3 ,x-axis and the lines x=0 and x=2 is

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

The area bounded by y = |sin x|, X-axis and the line |x|=pi is

NTA MOCK TESTS-JEE MOCK TEST 15-MCQS (MATH)
  1. If A={x in R:|x|lt2} and B={x in R:|x-2|ge3}, then

    Text Solution

    |

  2. On which of the following intervals is the function x^(100)+sinx-1 dec...

    Text Solution

    |

  3. The area bounded by the graph y=[x-3], the X-axis and the lines x=-2 a...

    Text Solution

    |

  4. underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |

  5. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

    Text Solution

    |

  6. The sum of the squares of deviation of 10 observations from their mean...

    Text Solution

    |

  7. 2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x...

    Text Solution

    |

  8. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  9. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  10. Which of the following is logically equivalent to ~(~pto q)?

    Text Solution

    |

  11. The number of different terms in the expansion of (1-x)^(201)(1+x+x^(2...

    Text Solution

    |

  12. The angle of elevation of an object on a hill is observed from a certa...

    Text Solution

    |

  13. If alpha,beta are the roots of the equation x^(2)-3x+4=0, then the equ...

    Text Solution

    |

  14. If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...

    Text Solution

    |

  15. If z be a complex number satisfying |z-4+8i|=4, then the least and the...

    Text Solution

    |

  16. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

    Text Solution

    |

  17. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  18. The number of value of x in [0,2] at which f(x)=|x-1/2|+|x-1|+tan x is...

    Text Solution

    |

  19. Find the number of ways in which four distinct balls can be kept into ...

    Text Solution

    |

  20. A bag contains b blue balls and r red balls. If two balls are drawn at...

    Text Solution

    |