Home
Class 12
MATHS
Find the area of the region in the first...

Find the area of the region in the first quadrant enclosed by the x-aixs, the line y = x, and the circle `x^(2) + y^(2) = 32`.

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Exercise 8.1|13 Videos

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Exercise 8.2|7 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.6|24 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    NCERT TAMIL|Exercise Exercise 7.10|20 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region in the first quadrant enclosed by x-axis, line x = sqrt3y and the circle x^(2) + y^(2) = 4 .

(i) Find the point at which the circle x^(2) + y^(2) = 32 intersects the positive x-axis. (ii) Shade the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x^(2) + y^(2) = 32 . (iii) Using integration, find the area of the shaded region.

Find the area of the region if the first quadrant bounded by the parabola y^(2)=4x , the line x+y=3 and y-axis.

Find the area lying in the first quadrant and bounded by the curve y=x^3 and the line y=4xdot

Find the area of the region enclosed by the parabola x^(2) = y and the line y = x + 2 and the x-axis.

Find the area of the region lying in the first quadrant and bounded by y = 4x^(2) , x = 0, y = 1 and y = 4.

Find the area of the region enclosed by the curve y=|x-(1)/(x)|(xgt0) and the line y=2

Find the area of the region bounded by the curve y^(2) = x and the lines x = 1, x = 4 and the x -axis.

Find the area enclosed by the curves y= sqrtx and x= -sqrty and the circle x^(2) + y^(2) =2 above the x-axis.

NCERT TAMIL-APPLICATION OF INTEGRALS-Miscellaneous Exercise
  1. Find the area of the region in the first quadrant enclosed by the x-ai...

    Text Solution

    |

  2. Find the area under the given curves and given lines: (i) y = x^(2),...

    Text Solution

    |

  3. Find the area between the curves y = x and y = x^(2).

    Text Solution

    |

  4. Find the area of the region lying in the first quadrant and bounded by...

    Text Solution

    |

  5. Sketch the graph of y = |x + 3| and evaluate int(-6)^(0)|x + 3| dx.

    Text Solution

    |

  6. Find the area bounded by the curve y = sin x between x = 0 and x = 2pi...

    Text Solution

    |

  7. Find the area enclosed between the parabola y^(2) = 4ax and the line y...

    Text Solution

    |

  8. Find the area enclosed by the parbola 4y=3x^(2) and the line 2y = 3x +...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Using the method of integration find the area bounded by the curve |x|...

    Text Solution

    |

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

    Text Solution

    |

  14. Using the method of integration find the area of the triangle ABC, coo...

    Text Solution

    |

  15. Using the method of integration find the area of the region bounded by...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The area bounded by the curve y = x^(3), x-axis and the ordinates: x =...

    Text Solution

    |

  19. The area of the circle x^(2) + y^(2) = 16 exterior to the parabola y^(...

    Text Solution

    |

  20. The are a bounded by the y-axis, y = cos x and y sin x when 0 le x le ...

    Text Solution

    |