Home
Class 12
MATHS
Examples: Find the area bounded by the p...

Examples: Find the area bounded by the parabola `y^2 = 4ax` and its latus rectum.

A

`2/3 a^(2)` sq. units

B

`4/3 a^(2)` sq. units

C

`8/3 a^(2)` sq. units

D

`3/8 a^(2)` sq. units

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

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Calculate the area bouded by the parabola y^2=4ax and its latus rectum

The point (2a, a) lies inside the region bounded by the parabola x^(2) = 4y and its latus rectum. Then,

Find the area bounded by the parabola y^(2)=4ax and the line y=2ax

Find the area bounded by the parabola y ^(2) =4ax, latus-rectum and x-axis.

Find the area of the parabola y^(2)=4ax bounded by its latus rectum.

Find by the method of integration the area of the region bounded by the parabola y^2=8x and its latus rectum.

Find the area of the region bounded by the parabola y^(2) = 32x and its Latus rectum in first quadrant .

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. Area bounded by the parabola y^(2)=2x and the ordinates x=1, x=4 is

    Text Solution

    |

  2. The area bounded by the curve y^(2)=8x and the line x=2 is

    Text Solution

    |

  3. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

    Text Solution

    |

  4. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

    Text Solution

    |

  5. The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

    Text Solution

    |

  6. The area of the region bounded by the X-axis and the curves defined by...

    Text Solution

    |

  7. The area of the region bounded by the curve y=cosx, X-axis and the lin...

    Text Solution

    |

  8. Find the area of the region bounded by the curve y = sin x ...

    Text Solution

    |

  9. The area of smaller part between the circle x^(2)+y^(2)=4 and the line...

    Text Solution

    |

  10. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

    Text Solution

    |

  11. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  12. Find the area bounded by the curve y=x|x|, x-axis and ordinates x=-1 a...

    Text Solution

    |

  13. Find the area bounded by the curve y = 3x + 2, x-axis and ordinate x=-...

    Text Solution

    |

  14. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

    Text Solution

    |

  15. Area bounded by the lines y=2+x, y=2-x and x=2 is (A) 3 (B) 4 (C) 8 (D...

    Text Solution

    |

  16. The area of the region bounded by y=7x+1, y=5x+1 and x=3 is

    Text Solution

    |

  17. For 0 lt= x lt= pi, the area bounded by y = x and y = x + sin x, is

    Text Solution

    |

  18. The area bounded by the curves y^(2)-x=0 and y-x^(2)=0 is

    Text Solution

    |

  19. Find the area included between the curves x^2=4y and y^2=4x.

    Text Solution

    |

  20. If the area enclosed between the curves y=a x^2a n dx=a y^2(a >0) is 1...

    Text Solution

    |