Home
Class 12
MATHS
The area of the loop of the curve a y^2=...

The area of the loop of the curve `a y^2=x^2(a-x)` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE ENGLISH|Exercise Comprehension Type|5 Videos

Similar Questions

Explore conceptually related problems

Show that the area of the loop of the curve y^2=x^2(1-x) is 8/15 .

The area bounded by the loop of the curve 4y^2=x^2(4-x^2) is given by (1) 7/3 (2) 8/3 (3) 11/3 (4) 16/3

The area of the loop of the curve x^(2)+(y-1)y^(2)=0 is equal to :

Find the area enclosed by the loop of the curve y^2=(x-1)(x-2)^2 .

The area of the loop between the curve y=asinx and x-axis is (A) a (B) 2a (C) 3a (D) none of these

The area of the loop between the curve y=asinx and x-axis is (A) a (B) 2a (C) 3a (D) none of these

The area of the loop between the curve y=asinx and x-axis is (A) a (B) 2a (C) 3a (D) none of these

The area enclosed by the curves x y^2=a^2(a-x)a n d(a-x)y^2=a^2x is

The area of the region bounded by the curve y = x^(2) and y = x is equal to

The area of the region bounded by the curves y=x^(2)+2,y=x,x= 0 andx=3 is

CENGAGE ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. The area of the region of the plane bounded by max(|x|,|y|)lt=1 and x ...

    Text Solution

    |

  2. The area of the figure bounded by the parabola (y-2)^(2)=x-1, the tang...

    Text Solution

    |

  3. The area of the loop of the curve a y^2=x^2(a-x) is

    Text Solution

    |

  4. The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx ...

    Text Solution

    |

  5. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

    Text Solution

    |

  6. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

    Text Solution

    |

  7. The area bounded by the curves y=xe^x,y=xe^-x and the lines x=1 is

    Text Solution

    |

  8. The area enclosed by the curves xy^2=a^2(a-x) and (a-x)y^2=a^2x is

    Text Solution

    |

  9. The area bounded by the loop of the curve 4y^2=x^2(4-x^2) is (a)7/3 sq...

    Text Solution

    |

  10. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  11. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

    Text Solution

    |

  12. For which of the following values of m is the area of the regions bou...

    Text Solution

    |

  13. The area of the region bounded by the curve y=e^(x) and lines x=0 and ...

    Text Solution

    |

  14. Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y

    Text Solution

    |

  15. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

    Text Solution

    |

  16. If a (a >0) is the value of parameter for each of which the area of t...

    Text Solution

    |

  17. Consider two curves C1: y=1/x a n dC2: y=1nx on the x y plane. Let D1 ...

    Text Solution

    |

  18. Find the area bounded by y^2lt=4x ,x^2+y^2geq2x ,a n dxlt=y+2 in the f...

    Text Solution

    |

  19. Find the area of the region R which is enclosed by the curve ygeqsqrt(...

    Text Solution

    |

  20. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

    Text Solution

    |