Home
Class 12
MATHS
The area bounded between the parabola x^...

The area bounded between the parabola `x^(2)=y/4` and `x^(2)=9y` and the straight line `y=2` is

A

`20sqrt(2)`

B

`(10sqrt(2))/(3)`

C

`(20sqrt(2))/(3)`

D

`10 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 3 Part - I|50 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and the straight line y=2 is

The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and the straight line y=2 is (1)20sqrt(2)(2)(10sqrt(2))/(3) (3) (20sqrt(2))/(3) (4) 10sqrt(2)

The area bounded by the parabola x^(2)=2y and the line y=3x is

The area bounded by the parabola y=4x^(2),x=0 and y=1,y=4 is

The area of the region bounded by the parabola y=x^(2)-4x+5 and the straight line y=x+1 is

The area bounded between the parabola y^(2)=4x and the line y = 2x - 4 is equal to

Find the area bounded by the parabola x^(2) = y and line y = 1 .

The area bounded by the hyperbola x^(2)-y^(2)=a^(2) between the straight-lines x=a and x=2a is given by

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - II
  1. Let [] denote the greatest integet function then the value int0^1.5 x[...

    Text Solution

    |

  2. The area of the region enclosed by the curvesv y=x,x=e,y=1/x and the p...

    Text Solution

    |

  3. The area bounded by the curves y^2=4x and x^2=4y

    Text Solution

    |

  4. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

    Text Solution

    |

  5. If g(x) = int(0)^(x) cos dt, then g(x+pi) equals

    Text Solution

    |

  6. Statement-I : The value of the integral int(pi//6)^(pi//3)(dx)/(1+sq...

    Text Solution

    |

  7. The area (in square units) bounded by the curves y=sqrt(x),""2y-x+3=0 ...

    Text Solution

    |

  8. The integral int(0)^(pi)sqrt(1+4sin^(2)'x/2-4sin'x/2)dx equals:

    Text Solution

    |

  9. The area of the region described by A = {(x,y) : x^(2)+y^(2) le 1 and ...

    Text Solution

    |

  10. The integral int(2)^(4) (logx^(3))/(logx^(2)+log(36-12x+x^(2)))dx is e...

    Text Solution

    |

  11. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  12. The area (in sq. units) of the region {(x,y):y^(2) le 2x and x^(2)...

    Text Solution

    |

  13. lim(nrarroo) (((n+1)(n+2)"........"3n)/(n^(2n)))^(1//n) is equal to :

    Text Solution

    |

  14. The area ( in sq. units) of the region {(x,y) : x ge 0, x + y le 3, x...

    Text Solution

    |

  15. The integral int(pi/4)^((3pi)/(4)) (dX)/(1+cosx) is equal to

    Text Solution

    |

  16. The value of int(pi/2)^( pi/2) (sin^(2)x)/(1+2^(x)) dx is :

    Text Solution

    |

  17. Let g(x) = cosx^(2), f(x) = sqrt(x), and alpha, beta (alpha lt beta)...

    Text Solution

    |

  18. Let I=int(a)^(b)(x^(4)-2x^(2))dx. If I is minimum then the ordered pai...

    Text Solution

    |

  19. The value of int(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4), where [t]...

    Text Solution

    |

  20. The integral int(1)^(e){(x/e)^(2x)-(e/x)^(x)}log(e) xdx is equal to

    Text Solution

    |