Home
Class 12
MATHS
Find the area of the region {(x, y) : y^...

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

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise All Questions|674 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the area of region {(x,y):0 le yle x^(2)+1,0ley le x+1,0 lex le2}

The area of the region R={(x,y):|x| le|y| and x^2+y^2le1} is

Find the area of the region bounded by the ellipse x^(2)/4+y^(2)/9=1 .

Find the area of the region bounded by y_(2) = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

Find the compound ratio of the ratios (x + y) : (x - y), (x^(2) + y^(2)) : (x + y)^(2) " and " (x^(2)-y^(2))^(2) : (x^(4) - y^(4)) .

Find the area of the region bounded by x^(2) = 4y, y = 2, y = 4 and the y-axis in the first quadrant.

CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the region R which is enclosed by the curve ygeqsqrt(...

    Text Solution

    |

  2. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

    Text Solution

    |

  3. Find the area of the region {(x, y) : y^(2) le 4x, 4x^(2) + 4y^(2) le ...

    Text Solution

    |

  4. Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2...

    Text Solution

    |

  5. Find the area bounded by y=1/(x^2-2x+2) and x-axis.

    Text Solution

    |

  6. Find the area bounded by x=2y-y^2 and the y-a x i s.

    Text Solution

    |

  7. Find the area bounded by y=sin^(-1)x ,y=cos^(-1)x ,and the X-axis.

    Text Solution

    |

  8. Draw a rough sketch of the curve y=(x-1)^2(x-2)(x-3)^3

    Text Solution

    |

  9. Find the area bounded by (a) y = (log)e|x|a n dy=0 (b) y=|(log)e|x|...

    Text Solution

    |

  10. Sketch the curves and identity the region bounded by x=1/2,x=2,y=lnx ,...

    Text Solution

    |

  11. Sketch the region bounded by the curves y=x^(2) and y=(2)/(1+x^(2)). F...

    Text Solution

    |

  12. Find the area of the region bounded by the curve C : y=tan x ,tangent ...

    Text Solution

    |

  13. Compute the area of the region bounded by the curves y=e x(log)e xa n ...

    Text Solution

    |

  14. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=...

    Text Solution

    |

  15. Find the area bounded by the curves y=sin x and y=cos x between two co...

    Text Solution

    |

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

    Text Solution

    |

  17. Consider a square with vertices at (1,1)(-1,1)(-1,-1)and(1,-1). Let S ...

    Text Solution

    |

  18. Find the area bounded by y=x^3-x and y=x^2+xdot

    Text Solution

    |

  19. Find the area lying above x-axis and included between the circle x^(2...

    Text Solution

    |

  20. Consider the region formed by the lines x=0,y=0,x=2,y=2. If the area e...

    Text Solution

    |