Home
Class 12
MATHS
Find the area of the smaller region bou...

Find the area of the smaller region bounded by the ellipse `(x^2)/9+(y^2)/4=1` and the line `x/3+y/2=1`

Text Solution

Verified by Experts

The correct Answer is:
`(3pi)/(2) -3 = (3)/(2) (pi-2) ` sq. units
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXAMPLAR|2 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|3 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT BOOK (EXERCISE 8.2)|7 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

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 the ellipse (x^(2))/(16)+(y^(2))/(9)=1

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the line (x)/(a)+(y)/(b)=1

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

Using definite integration,find the area of the smaller region bounded by the ellipse 9x^(2)+16y^(2)=144 and x=2

The area of the smaller region bounded by the circle x^(2) + y^(2) =1 and the lines |y| = x +1 is

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

Find the area of the region bounded by the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The area bounded by the ellipse x^(2)/4 + y^(2)/25 = 1 is

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS -MISCELLANEOUS EXERCISE ON CHAPTER
  1. Find the area under the given curves and given lines:(i) y=x^2,x = 1,...

    Text Solution

    |

  2. Find the area between the curve y=x and y=x^2

    Text Solution

    |

  3. Find the area of the region lying in the first quadrant and bounded b...

    Text Solution

    |

  4. Sketch the graph of y = |x + 3|and evaluateint-6 0|x+3|dx.

    Text Solution

    |

  5. Find the area bounded by the curve y" "=" "s in" "x between x" "=" ...

    Text Solution

    |

  6. Find the area enclosed between the parabola y^2=4a xand the line y = ...

    Text Solution

    |

  7. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

    Text Solution

    |

  8. Find the area of the smaller region bounded by the ellipse (x^2)/9+(y...

    Text Solution

    |

  9. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

    Text Solution

    |

  10. Find the area of the region enclosed by the parabola x^(2)=y and the l...

    Text Solution

    |

  11. Using the method of integration find the area bounded by the curve ...

    Text Solution

    |

  12. Find the area bounded by curves {(x,y): y ge x ^(2) and y = |x|}.

    Text Solution

    |

  13. Using the method of integration find the area of the triangle ABC, ...

    Text Solution

    |

  14. Using the method of integration find the area of the region bounded b...

    Text Solution

    |

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

    Text Solution

    |

  16. Area bounded by the curve y=x^3, the x-axis and the ordinates x = 2a...

    Text Solution

    |

  17. The area bounded by the curve y" "=" "x" "|" "x" "| , x-axis and th...

    Text Solution

    |

  18. The area of the circle x^2+y^2=16exterior to the parabola y^2=6xis(A) ...

    Text Solution

    |

  19. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

    Text Solution

    |