Home
Class 12
MATHS
Find the area of the region formed by x^...

Find the area of the region formed by `x^2+y^2-6x-4y+12 le 0`. `y le x` and `x le 5/2`.

A

`(pi/6-(sqrt(3)+1)/8)` sq. unit

B

`(pi/6+(sqrt(3)+1)/8)` sq. unit

C

`(pi/6-(sqrt(3)-1)/8)` sq. unit

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

The area of the region formed by x^(2)+y^(2)-6x-4y+12<=0,y<=x and x<=(5)/(2)

Find the area of the region [ (x,y) :x^2 le y le x )

Find the area of the region {(x,y):x^2+y^2le1lex+y}

Find the area of the region [x,y): x^2+y^2 le 1 le x+ y }

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

Find the area of the region {(x,y):x^2 le y le |x| }.

Find the area of the region given by x+y le 6, x^2+y^2 le 6y and y^2 le 8x .

Find the area of the region given by x^2/4+y^2/9 le1 and 3|x|+2|y| ge 6 .

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-EVALUATION TEST
  1. The area bounded by the curve y=abs(x), X axis and the lines x=-pi " a...

    Text Solution

    |

  2. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

    Text Solution

    |

  3. Using integration find area of the region bounded by the curves y=sqrt...

    Text Solution

    |

  4. The area bounded by the curves y = |x| - 1 and y = -|x| +1 is equal to

    Text Solution

    |

  5. Find the area of the region formed by x^2+y^2-6x-4y+12 le 0. y le x an...

    Text Solution

    |

  6. The area bounded by the curve y = 2x - x^(2) and the line y = - x is

    Text Solution

    |

  7. The area bounded by y=cosx, y=0 and abs(x)=1 is given by

    Text Solution

    |

  8. The area bounded by the curves y = cos x and y = sin x between the ord...

    Text Solution

    |

  9. The area of the region bounded by the parabola y = x^(2) + 2 and the l...

    Text Solution

    |

  10. The area bounded by the curve x=2-y-y^(2) and Y-axis is

    Text Solution

    |

  11. The area of the region bounded by the curves y^(2)=4a^(2)(x-1) and the...

    Text Solution

    |

  12. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

    Text Solution

    |

  13. The area of the closed figure bounded by x=-1, y=0, y=x^(2)+x+1, and t...

    Text Solution

    |

  14. The area of the region bounded by the curves x^(2)+4y^(2)=4 " and " 4y...

    Text Solution

    |

  15. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

    Text Solution

    |

  16. The area bounded by y = sin^(-1)x,x=(1)/(sqrt(2)) and X-axis is

    Text Solution

    |

  17. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

    Text Solution

    |

  18. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |