Home
Class 12
MATHS
Sketch the region common to the circle x...

Sketch the region common to the circle `x^2+y^2=16` and the parabols `x^2=6ydot` Also find the area of the region using integration.

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

Find the area common to the circle x^2+y^2=16a^2 and the parabola y^2=6ax,agt0.

Sketch the region lying in the first quadrant and bounded by y=9x^2, x=0,y=1a n dy=4. Find the area of the region using integration.

The area of the region by the circle x^(2)+y^(2)=1 is

Sketch the region |(x , y):9x^2+4y^2=36| and find the area of the region enclosed by it using integration.

Sketch the region bounded by the curves y=x^2+2,\ y=x ,\ x=0\ a n d\ x=1. also, find the area of this region.

Sketch the region {(x, 0):y=sqrt(4-x^(2))} and X-axis. Find the area of the region using integration.

Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 } and find the area enclosed by the region using the method of integration

Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y = x in the first quadrant, using integration.

Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y = x in the first quadrant, using integration.

Draw a rough sketch to indicate the region bounded between the curve y^2=4a x and the line x=3. also, find the area of this region.

RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. In what ratio does the x-axis divide the area of the region bounded by...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

    Text Solution

    |

  18. The area bounded by the parabola y^2=4a x , the latusrectum and x-axis...

    Text Solution

    |

  19. Find the area of the region {(x , y): x^2+y^2lt=1lt=x+y}dot

    Text Solution

    |

  20. The area common to the parabola y=2x^2 and y =x^2+4 is:

    Text Solution

    |