Home
Class 12
MATHS
Using integration, find the area of the ...

Using integration, find the area of the following region: `{(x , y):(x^2)/9+(y^2)/4lt=1lt=x/3+y/2}` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

  • BINARY OPERATIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Using integration, find the area of the following region: R={(x,y):x^2leyle|x|}

Using integration, find the area of the following region : {(x, y) : x^(2) + y^(2) lt 1 le x + y}

Using integration, find the area of the following region : {(x , y);\ |x+2|lt=ylt=sqrt(20-x^2)}

Using integration, find the area of the region: {(x , y):9x^2+y^2lt=36\ "and"\ 3x+ygeq6}

Find the area of the region {(x ,\ y):(x^2)/(a^2)+(y^2)/(b^2)lt=1<=x/a+y/b}

Using integration ,find the area of the region {(x,y) : y^(2) le 4x, 4x^(2) +4y^(2) le 9 }

Find the area of the region {(x , y): x^2lt=ylt=|x|}dot

Using integration find the area of the region "{"(x , y")":x^2+y^2lt=2a x ,y^2geqa x ,x ,ygeq0} .

Using integration, find the area of the region {(x,y) : x^(2) +y^(2) le 1, x+y ge 1, x ge 0, y ge 0}

Find the area of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}

RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Make a rough sketch of the region given below and find its area using ...

    Text Solution

    |

  2. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

    Text Solution

    |

  3. Using integration, find the area of the following region: {(x , y):(x^...

    Text Solution

    |

  4. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  5. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

  6. Using integration, find the area bounded by the curves y = |x-1| and ...

    Text Solution

    |

  7. Sketch the region common to the circle x^2+y^2=16 and the parabols x^2...

    Text Solution

    |

  8. Find the area of the region between the parabola x=4y-y^2 and the line...

    Text Solution

    |

  9. Find the area bounded by the parabola x=8+2y-y^2; the y-axis and the l...

    Text Solution

    |

  10. The area bounded by the parabolay y^2 = 4x and the line y = 2x - 4 on ...

    Text Solution

    |

  11. If the area above x-axis bounded by the curves y=2^(k x)a n dx=0 and ...

    Text Solution

    |

  12. Find the area included between the curves x^2=4y and y^2=4x.

    Text Solution

    |

  13. The area bounded by the curve y=logex, the x-axis and the line x=e is ...

    Text Solution

    |

  14. The area bounded by the y=2-x^2a n d\ x+y=0 is (a)7/2s qdotu n i t s b...

    Text Solution

    |

  15. The area bounded by the parabola x=4-y^2 and y-axis, in square units, ...

    Text Solution

    |

  16. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

    Text Solution

    |

  17. The area enclosed between the curves y=(log)e(x+e),x=(log)e(1/y), and ...

    Text Solution

    |

  18. The area of the figure bounded by the parabola (y-2)^2=x-1, the tangen...

    Text Solution

    |

  19. The area bounded by the curves y=sinx between the ordinates x=0,\ x=pi...

    Text Solution

    |

  20. The area bounded by parabola y^2=4a x\ a n d\ x^2=4a y is (8a^3)/3 b. ...

    Text Solution

    |