Home
Class 12
MATHS
If the curve C in the xy plane has the e...

If the curve C in the xy plane has the equation `x^(2)+xy+y^(2)=1,` then the fourth power of the gretest distance of a point on C from the origin is `"_____."`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

The minimum distance of a point on the curve y=x^(2)-4 from the origin is

Find the distance of the plane 2x-y+2z+1=0 from the origin.

The distance of the point (a , b , c ) from xy - plane is _

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

The point on the curve xy^(2)=1 that is nearest to the origin is-

For the curve x^(2)+4xy+8y^(2)=64 , the tangents are parallel to the x-axis only at the points-

For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-axis only at the points

Transform the equation x^(2)+xy-3x-y+2=0 to parallel axis through the point (1,1).

The normal to the curve, x^(2)+2xy-3y^(2)=0 at (1, 1)-

Find the equation to the locus of a point whose distance from YZ plane-is twice the distance from the point (-2, 1, -1).

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f:[0,oo)to[0,oo)a n dg:[0,oo)to[0,oo) be non-increasing and non-de...

    Text Solution

    |

  2. Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta....

    Text Solution

    |

  3. If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then...

    Text Solution

    |

  4. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

    Text Solution

    |

  5. If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, ...

    Text Solution

    |

  6. Is every invertible function monotonic?

    Text Solution

    |

  7. Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes throug...

    Text Solution

    |

  8. If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1...

    Text Solution

    |

  9. Prove that f(x)=x-sinx is an increasing function.

    Text Solution

    |

  10. Let f defined on [0, 1] be twice differentiable such that |f "(x)| ...

    Text Solution

    |

  11. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  12. f(x) = cosx-2ax monotonically decreases when

    Text Solution

    |

  13. If a , b are two real numbers with a<b then a real number c can be fo...

    Text Solution

    |

  14. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  15. Separate the intervals of monotonocity of the function: f(x)=3x^4-8x^...

    Text Solution

    |

  16. Column I, Column II A circular plate is expanded by heat from ra...

    Text Solution

    |

  17. Find the total number of parallel tangents of f1(x)=x^2-x+1a n df2(x)=...

    Text Solution

    |

  18. Separate the intervals of monotonocity of the function: f(x)=-sin^3x+...

    Text Solution

    |

  19. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

    Text Solution

    |

  20. Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

    Text Solution

    |