Home
Class 12
MATHS
The area of the region bounded by {(...

The area of the region bounded by `{(x,y) : y^2 ge 2x and x^2 +y^2 le 4x , x ge 0 , y ge 0}` is ….Sq. units.

A

`pi-4/3`

B

`pi-8/3`

C

`pi - ( 4 sqrt(2))/(3)`

D

`pi/2 - (2 sqrt(2) )/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -A)|6 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -B)|3 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( OBJECTIVE TYPE QUESTIONS)|11 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

Similar Questions

Explore conceptually related problems

x ge 3, y ge 2

3x+2y le 12, x ge 1, y ge 2

The area of region bounded by { (x,y) : x ge 0, x+y le 3, x^2 le 4y and y le 1+ sqrt(x) } is …….Sq . Units

5x+4y le 20, x ge 1, y ge 2

x+y le 6, x+y ge 4

y+8 ge 2x

x-2y le 3, 3x+4y ge 12, x ge 0, y ge 1

The area of the region enclosed by {(x,y) : x^2 +y^2 le 1 le x+y } is …..Sq. units

4x+3y le 60, y ge 2x, x ge 3, x, y ge 0

Find the area bounded by curves {(x, y) : y ge x^(2) "and" y = |x|} .

KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)
  1. The area of the quadrilateral formed by the tangents drawn at ex...

    Text Solution

    |

  2. The area of the region bounded bwtween the curve y=2^x and y=...

    Text Solution

    |

  3. f(x) = min { x+1 , sqrt((1-x))} the area of the region bounded by ...

    Text Solution

    |

  4. The area of the region bounded by the curves y=2 -|2-x| and y= ...

    Text Solution

    |

  5. The area of the region bounded by the curves y= xe^x , y= xe^(-...

    Text Solution

    |

  6. The area of the region bounded by the curve (y-x)^2 =x^3 and the ...

    Text Solution

    |

  7. The area of the region enclosed by the curves |x+y-1| + |2x +y...

    Text Solution

    |

  8. The area of the region bounded by the curve y= cos x,y = sin x...

    Text Solution

    |

  9. The area of the region enclosed by the curve y= |sin x| X- axis ...

    Text Solution

    |

  10. The area of the region bounded by the lines y=|x| , X- axis and |...

    Text Solution

    |

  11. The area of the reagion bounded by the curve y=[x] and the lines ...

    Text Solution

    |

  12. If A ={(x,y} ,x^2 +y^2 le 1 and y^2 le 1 -x} then the area of A is...

    Text Solution

    |

  13. The area of the region bounded by {(x,y) : y^2 ge 2x and x^2 +...

    Text Solution

    |

  14. The area of region bounded by { (x,y) : x ge 0, x+y le 3, x^2 ...

    Text Solution

    |

  15. Area bounded by curve y= tan pi x , x in [-1/4 ,1/4] and X-axis is...

    Text Solution

    |

  16. If the area of the region bounded by two curves y=x^2 and y=x^3 ...

    Text Solution

    |

  17. Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

    Text Solution

    |

  18. Let x^k +y^k =a^k (a,k gt 0) and (dy)/(dx) +((y)/(x))^(1/3) =0 then...

    Text Solution

    |

  19. Let the function f: [-7,9] to R be continuous on [-7,0] and di...

    Text Solution

    |

  20. The area ( in Sq. units ) of the region {(x ,y) in R |4x^2 le y...

    Text Solution

    |