Home
Class 12
MATHS
सरल रेखा y = 2x + 3, y = 0, x = 2 तथा x...

सरल रेखा `y = 2x + 3, y = 0, x = 2` तथा `x = 4` से बने चतुर्भुज का क्षेत्रफल समाकलन का प्रयोग कर निकालें ।

लिखित उत्तर

Verified by Experts

अभीष्ट क्षेत्रफल ABCDA
`= int_(2)^(4) ydx = int_(2)^(4) (2x + 3) dx`
`= [x^(2) + 3x]_(2)^(4)`
= (16 + 12) - (4 + 6) = 16 वर्ग इकाई
Promotional Banner

टॉपर्स ने हल किए ये सवाल

  • वक्र से घिरे क्षेत्र ( समाकलों के अनुप्रयोग )

    KC SINHA|Exercise अभ्यास 22.1|55 Videos

  • वक्र से घिरे क्षेत्र ( समाकलों के अनुप्रयोग )

    KC SINHA|Exercise OBJECTIVE QUESTIONS|21 Videos

  • रोले का प्रमेय एवं लैगरॉंजे का माध्य्मान प्रमेय

    KC SINHA|Exercise अभ्यास 13.1|60 Videos

  • वर्ग आव्यूह का सहखण्डज तथा प्रतिलोम

    KC SINHA|Exercise अभ्यास|45 Videos
KC SINHA-वक्र से घिरे क्षेत्र ( समाकलों के अनुप्रयोग )-OBJECTIVE QUESTIONS
  1. सरल रेखा y = 2x + 3, y = 0, x = 2 तथा x = 4 से बने चतुर्भुज का क्षेत्...

    Text Solution

    |

  2. The area bounded by the parabola y^(2) = x, the line y = 4 and the y-a...

    Text Solution

    |

  3. The area bounded by the curve y = log(e)x, the x-axis and the straight...

    Text Solution

    |

  4. The area enclosed between the parabolas y^(2) = 4x and x^(2) = 4y is

    Text Solution

    |

  5. Area bonuded by the curve y = x^(3), the x-axis and the ordinates x = ...

    Text Solution

    |

  6. The area enclosed within the curve |x| + |y| = 1 is

    Text Solution

    |

  7. What is the area bounded by the curves x^(2) + y^(2) = 9 and y^(2) = 8...

    Text Solution

    |

  8. The area between the curve y = 2x^(4) - x^(2),the x, axis and the ordi...

    Text Solution

    |

  9. The area cut off a parabola by any double ordinate is k times the corr...

    Text Solution

    |

  10. The area fo the region bounded by the parabola y = x^(2) + 1 and the s...

    Text Solution

    |

  11. The area bounded by the curve x + |y| = 1 and x axis is

    Text Solution

    |

  12. वक्र से घिरा क्षेत्र y^(2) = 9xऔर x = 1, x = 4 और y = 0 पहले चतुर्थांश...

    Text Solution

    |

  13. The area of the region bounded by the curve y = x - x^(2) between x = ...

    Text Solution

    |

  14. Area bounded by the curve xy^(2) = a^(2) (a -x) and y-axis is

    Text Solution

    |

  15. Area bounded by the curve y^(2) (2a - x) = x^(3) and the line x = 2a i...

    Text Solution

    |

  16. वक्र से घिरा क्षेत्र y = 2x - x^(2)  और सीधी रेखा y = - x है

    Text Solution

    |

  17. The area enclosed between the curve y^(2) = 4x and the line y = x is

    Text Solution

    |

  18. The area bounded by the curve y^(2) = x and y = |x| in first quadrants...

    Text Solution

    |

  19. The area bounded by the curve y = cos x and x-axis between x=0 and x =...

    Text Solution

    |

  20. वक्र से घिरा क्षेत्रफल y = 3x + 2 और x = - 1 , x = 1 ….

    Text Solution

    |

  21. The area bounded by the curve y = e^(x), x-axis and ordinates x = 0 an...

    Text Solution

    |