Home
Class 12
MATHS
If the area enclosed between the curves ...

If the area enclosed between the curves `y=a x^2a n dx=a y^2(a >0)` is `1` square unit, then find the value of `adot`

A

`(1)/(sqrt(3))`

B

`(1)/(2)`

C

1

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise Level - 1|190 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The area enclosed between the curves y=ax^(2) and x=ay^(2)(a gt 0) is 1 sq.unit. Then a =

The area enclosed between the curves y^2=x and y=|x| is

Find the area enclosed between the curves y=4x^(2) and y=x^(2)+3

Find the area enclosed between the curves y=x^(2),y=2x-x^(2)

Find the area enclosed between the curves y^(2)=2x,y=4x-1

Find the area enclosed by the curves y=4x^2 and y^2=2x .

Find the area enclosed between the curves y^(2)=2x+6 and y=x-1

Find the area between the curves y = x and y=x^2 .

The area enclosed by the curve y^2 +x^4=x^2 is

Show that the area enclosed between the curves y = x and y=x^(3) is (1)/(2) sq unit.

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Main (Archive)
  1. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

    Text Solution

    |

  2. The area bounded by the curves y=(x-1)^(2),y=(x+1)^(2) " and " y=(1)/(...

    Text Solution

    |

  3. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |

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

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  7. The value of int(0)^(pi)|cos x|^(3)dx is :

    Text Solution

    |

  8. The area of the region A={(x,y), 0 le y le x|x|+1 and -1 le x le 1} in...

    Text Solution

    |

  9. underset0overset(pi/3)int tantheta/(sqrt(2ksectheta))d theta=1-1/sqrt2...

    Text Solution

    |

  10. Let f be a differentiable function from R to R such that |f(x) - f(y)...

    Text Solution

    |

  11. Let I=undersetaoversetbint(x^4-2x^2)dx. If is minimum, then the ordere...

    Text Solution

    |

  12. If the area enclosed between the curves y=kx^2 and x=ky^2, where kgt0,...

    Text Solution

    |

  13. If int(0)^(x)f(t)dt=x^2+int+(x)^(1)t^2f(t)dt, then f((1)/(2)) is equal...

    Text Solution

    |

  14. The value of underset(-pi//2)overset(pi//2)intdx/([x]+[sinx]+4) where ...

    Text Solution

    |

  15. Using integration, find the area bounded by the curve x^2=4y and the l...

    Text Solution

    |

  16. The value of int(-2)^(2)(sin^(2)x)/([(x)/(pi)]+(1)/(2))dx where [.] d...

    Text Solution

    |

  17. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

    Text Solution

    |

  18. The area (in sq. units) of the region bounded by the parabola y=x^2+2"...

    Text Solution

    |

  19. Let f and g be continuous fuctions on [0, a] such that f(x)=f(a-x)" an...

    Text Solution

    |

  20. The integral underset1overseteint{(x/e)^(2x)-(e/x)^x}logexdx is equal ...

    Text Solution

    |