Home
Class 12
MATHS
The area enclosed between the curves, y ...

The area enclosed between the curves, `y = ax^(2)` and ` x = ay^(2) ( a gt 0)` is 1 square units, then the value of a is

A

`1/sqrt3`

B

44228

C

1

D

44256

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

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

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

The area enclosed between the curves y^2=4x and the line y=x is

The area enclosed between the curves y=x and y=2x-x^(2) is (in square unit)

The area enclosed between the curves y = x^(3) and y=sqrtx is, (in square units)

If the are between y =mx^(2) and x= my^(2) (m gt 0 ) is (1)/(4) sq . Unit then the value of m is:

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

Area enclosed between curves : y=ax^2 and x=ay^2 (a > 0) is 1 sq. unit, then a is :

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. The area (in square units) bounded by the x-axis part of the curve y=1...

    Text Solution

    |

  2. Area bounded by y=3x and y=x^(2) is

    Text Solution

    |

  3. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

    Text Solution

    |

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

    Text Solution

    |

  5. The area (in square units) of the region bounded by the curve x^(2) = ...

    Text Solution

    |

  6. The area bounded by y=x^(2)+2, x-axis, x=1 and x=2 is

    Text Solution

    |

  7. the area of the region bounded by y=2x-x^(2) and x-axis is

    Text Solution

    |

  8. the area of the region bounded by y=2x-x^(2) and x-axis is

    Text Solution

    |

  9. The area bounded betwene the parabola y^(2)=4xs and the line y=2x-4 is...

    Text Solution

    |

  10. The area of the region bounded by the curves y=x^(2) and y=4x-x^(2) in...

    Text Solution

    |

  11. The area of the region enclosed between the curves y = x^(3) and y = s...

    Text Solution

    |

  12. The area of the region bounded by y=|x-1| and y=1 is

    Text Solution

    |

  13. The slope of the tangent to a curve, y = f(x) at (x, f(x)) is 2x+1. If...

    Text Solution

    |

  14. The area bounded by the curves : y=|x|-1 and y=-|x|+1 is :

    Text Solution

    |

  15. The area enclosed between the curves, y = ax^(2) and x = ay^(2) ( a g...

    Text Solution

    |

  16. If y= f(x) makes positive intercepts of 2 and 1 unit on x and y coordi...

    Text Solution

    |

  17. The area enclosed between the curve y=loge(x+e) and the coordinate axe...

    Text Solution

    |

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

    Text Solution

    |

  19. The area of the figure bounded by y=sin x , y cos x in the first quadr...

    Text Solution

    |

  20. The area enclosed between the curves y=x and y=2x-x^(2) is (in square ...

    Text Solution

    |