Home
Class 12
MATHS
Show that the ar5ea enclosed between the...

Show that the ar5ea enclosed between the parabolas `y^(2)=4a(x+a)` and `y^(2)=4b(b-x)` where `a gt 0,b gt 0` is `(8)/(3)(a+b)sqrt(ab)` sq units.

Text Solution

Verified by Experts

The correct Answer is:
`=(8)/(3)sqrt(ab)(a+b)` sq units
Promotional Banner

Topper's Solved these Questions

  • AREAS

    AAKASH SERIES|Exercise EXERCISE - 3 (VERY SHORT ANSWER QUESTIONS)|18 Videos

  • AREAS

    AAKASH SERIES|Exercise EXERCISE - 3 (LONG ANSWER QUESTIONS)|17 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise Sequence and series|12 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.4 (Level-2) |36 Videos

Similar Questions

Explore conceptually related problems

Show that the area enclosed between y^(2)=4ax and y=mx is (8)/(3)(a^(2))/(m^(3)) sq units.

Show that the curves y^(2)=4a(x+a) and y^(2)=4b(b-x)(a gt ,b gt 0) intresect orthogonally.

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

Show that the area enclosed by the curves x^(2)=4by and y=mx is (8)/(3)b^(2)m^(3) sq units.

Show that the area enclosed by y^(2)=4ax and its latus rectum is (8a^(2))/(3) sq units.

The focus of the parabola y^(2)-4y-8x-4=0 is

The area included between the parabola y=(x^(2))/(4a) and the curve y=(8a^(3))/((x^(2)+4a^(2))) is

AAKASH SERIES-AREAS-Exercise-3.2
  1. Show that the ar5ea enclosed between the parabolas y^(2)=4a(x+a) and y...

    Text Solution

    |

  2. Find the area of the region bonded by y=x(x-1)(x-2), the x-axis and x ...

    Text Solution

    |

  3. Find the area of the region bounded by the curves y= e^(x),y= e^(-x) a...

    Text Solution

    |

  4. Find the area of the region bounded by y=3^(x) and the lines y = 3 and...

    Text Solution

    |

  5. Find the area of the region enclosed by the parabola y=x^(2) + 2, the ...

    Text Solution

    |

  6. Find the area enclosed by the curves y= l nx, y= 2^(x) and the lines x...

    Text Solution

    |

  7. Find area enclosed by |y|=1-x^(2).

    Text Solution

    |

  8. Find the area enclosed between y= sqrt(5-x^(2)) and the lines y= |x-1|

    Text Solution

    |

  9. Find the ratio in which the area bounded by the curves y^(2)=12x and x...

    Text Solution

    |

  10. Find the ratio of the curves into which the circle x^(2) + y^(2)= 64 i...

    Text Solution

    |

  11. The area of the region bounded by the curves y=2^(x),y=2x-x^(2) and th...

    Text Solution

    |

  12. Find the area of the region bounded by the curves y= x^(2) and y= (2)/...

    Text Solution

    |

  13. The area bounded by the curves y=xe^(x),y=xe^(-x) and line x=1, is

    Text Solution

    |

  14. Find the area of the region bounded by the lines y=|x-1| and y=3-|x|

    Text Solution

    |

  15. Find the area of the region bounded by the curves x=|y^(2)-1| and y=x-...

    Text Solution

    |

  16. Find the are of the region bounded by y= log(e )x and y= sin^(4) (pi x...

    Text Solution

    |

  17. Find the area of the region bounded by 4y=|4-x^(2)| and y=7-|x|

    Text Solution

    |

  18. Find the area enclosed by y=log(e)(x+e) and x=log(e)((1)/(y)) and the ...

    Text Solution

    |

  19. Let f(x)= "max" {sin x, cos x, (1)/(2)}. Determine the area of the reg...

    Text Solution

    |

  20. Let f(x)=" max "{x^(2),(1-x)^(2),2x(1-x)} where 0le x le 1. Determine ...

    Text Solution

    |

  21. Let A(n) between area bounded by the curve y=(tan x)^(n),n in N and th...

    Text Solution

    |