Home
Class 12
MATHS
The area (in sdq. Units) of the region {...

The area (in sdq. Units) of the region `{(x,y):y^(2)ge2x` and `x^(2)+y^(2)le4x,xge0,yge0}` is

A

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

B

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

C

`pi-4/3`

D

`pi-8/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 102

    NTA MOCK TESTS|Exercise MATHEMATICS |29 Videos

  • NTA TPC JEE MAIN TEST 104

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)+y^(2) le 4x , x ge 0, y le 0}, is

The area (in square units) of the region {(x,y):y^(2) ge 2x and x^(2)+y^(2) le 4x, x ge 0, y ge 0} is

If the area (in sq. units) of the region {(x,y):y^(2)le 4x, x+y le 1, x ge 0, y ge 0} is a sqrt(2) +b , then a-b is equal to :

The area (in sq units) of the region A={(x,y):(y^(2))/(2) le x le y+4} is

The area (in sq units) of the region described by {(x,y):y^(2)le2x and yge4x-1} is

The area (in square units) of the region described by {(x, y):y^(2)le 2x and y le 4-x} is

The area (in sq.units) of the region {xge0, yge0, ygex-2 and ylesqrt(x)} is

The area (in sq. units) of the region {(x,y) in R^2: x^2 le y le 3-2x} , is :

Find the area of the region {x,y:x^2+y^2le2ax,y^2geax,xge0,yge0}

The area ( in sq. units ) of the region A={(x,y):|x| + |y| le 1 , 2y^(2) ge |x|} is :

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 103-MATHEMATICS
  1. If e^(-(pi)/2)lt theta lt (pi)/2 then

    Text Solution

    |

  2. The minimum valueof |z| if |z-2-2i|=1, is

    Text Solution

    |

  3. The value of lim(xto)(sin4x-sin4x.cosx)/(x^(3)) is

    Text Solution

    |

  4. How many points of the function f(x)=(e^(|x|)-1)(|x(x-1)(x-2) is not |...

    Text Solution

    |

  5. int4sinx"cos"(pi)/2"cos"(3x)/2dx is equal to

    Text Solution

    |

  6. If the tangents are drawn from any point on the line x+y=3 to the circ...

    Text Solution

    |

  7. The area (in sdq. Units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2...

    Text Solution

    |

  8. cos("sin"^(-1)3/5+"cot"^(-1)3/2) would be equal to

    Text Solution

    |

  9. Equation of image of the line x+y=sin^(-1)(lamda^(6)+1)+5cos^(-1)(lamd...

    Text Solution

    |

  10. Differential equation {1/x-(y^(2))/((x-y)^(2))}dx+{(x^(2))/((x-y)^(2)...

    Text Solution

    |

  11. If n is a natural number than ((n+1)/2)^(n)gen! is true when

    Text Solution

    |

  12. If y=(cosxisinx)(cos3x+isin3x)xx(cos5x+isin5x) and ..(cos 15x+isin15x)...

    Text Solution

    |

  13. If ""^(n+2)C(8):""^(n-2)P(4)=57:16 then find the digital sum of n

    Text Solution

    |

  14. If f(x)=|(x,x-1,x-2),(x+1,xx+2),(x+1,x-1,x)| then evaluate sum(x=1)^(1...

    Text Solution

    |

  15. f is a function from AtoA where A={1,2,3,……….,10}. If all the discrete...

    Text Solution

    |

  16. The volumeof the tetrahderon included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

  17. If int(0)^(1)(log(1+x))/(1+x^(2))dx=(pi)/(a^(b))loga, where G.C.D. (a,...

    Text Solution

    |

  18. If DeltaABC,/A=45^(@),/B=75^(@) and a+csqrt(2)=kb, then find k.

    Text Solution

    |

  19. If cot(7 1/2)^(2)=sqrt(ab)+sqrt(a)+sqrt(b)+a, then find b/a

    Text Solution

    |

  20. The number of real solutions of (7+4sqrt(3))^(|x|-8)+(7-4sqrt(3))^(|x|...

    Text Solution

    |