Home
Class 12
MATHS
Show that the curves x y=a^2a n dx^2+y^2...

Show that the curves `x y=a^2a n dx^2+y^2=2a^2` touch each other

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|7 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Short Answer Type Questions)|15 Videos
  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Show that the curves x y=a^2 and x^2+y^2=2a^2 touch each other.

Show that the curves xy=a^(2) and x^(2)+y^(2)=2a^(2) touch each other

Prove that the curves x y=4 and x^2+y^2=8 touch each other.

Prove that the curves xy=4 and x^(2)+y^(2)=8 touch each other.

Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at the points (1,\ 2) .

Show that the curvesy ^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at (1,2). Also find the equation of the common tangent and normal.

Prove that the curve x^(2)+y^(2)=1 and y^(2)=4(x-1) touches each other.

Prove that the curve y^(2)=4x and x^(2)+y^(2)-6x+1=0 touches each other at thepoint (1,2), find the equation of the common tangents.

Show that the curves 2x=y^(2) and 2xy=k cut each other at right angles if k^(2)=8

Prove that the curves 2y^(2)=x^(3) and y^(2)=32x cut each other orthogonally at the origin

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Frequently Asked Questions
  1. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

    Text Solution

    |

  2. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 by p...

    Text Solution

    |

  3. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

    Text Solution

    |

  4. Find the angle of intersection of the following curves: x y=6a n dx^2...

    Text Solution

    |

  5. If the curve ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 intersect orthogona...

    Text Solution

    |

  6. Find the values of x for which f(x)=[x(x-2)]^2 is an increasing unc...

    Text Solution

    |

  7. Find two positive number whose sum is 24 and their sum of square is mi...

    Text Solution

    |

  8. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  9. Show that the rectangle of maximum perimeter which can be inscribed...

    Text Solution

    |

  10. Show that the triangle of maximum area that can be inscribed in a g...

    Text Solution

    |

  11. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  12. 40. A given quantity of metal is to be cast into a half cylinder with ...

    Text Solution

    |

  13. A window has the shape of a rectangle surmounted by an equilateral ...

    Text Solution

    |

  14. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  15. Let AP and BQ be two vertical poles at points A and B, respectively. ...

    Text Solution

    |

  16. If length of three sides of a trapezium other than base are equal t...

    Text Solution

    |

  17. A square piece of tin of side 24 cm is to be made into a box without t...

    Text Solution

    |

  18. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  19. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  20. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |