Home
Class 12
MATHS
Prove that the curves y^(2)=4axandxy=c^(...

Prove that the curves `y^(2)=4axandxy=c^(2)` cut at right angles if `c^(4)=32a^(4)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION V)|13 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION VI)|9 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION III)|25 Videos

  • APPLICATION OF INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE|36 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

Similar Questions

Explore conceptually related problems

Prove that the curves x=y^2 and xy=k cut at right angles* if 8k^2 =1

Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 = 1 .

Prove that the curves 4x = y^2 and 4xy = k cut at right angles if k^2 = 512 .

Show that the curves 2x = y^2 and 2xy = k cut at right angles if k^2 = 8 .

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

Find the equation to the pair of straight lines joining the origin to the intersections of the straight line y=mx + c and the curve x^2 + y^2=a^2 . Prove that they are at right angles if 2c^2=a^2(1+m^2) .

The area bounded by the curves y^2=4x and x^2=4y is :

If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

If the equation of two curve is y^(2)=4ax and x^(2)=4ay (i) Find the angle of intersection of two curves. (ii) Find the equation of common tangents to these curves.

BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION IV)
  1. Find the equations of the tangent to the given curves at the indicate...

    Text Solution

    |

  2. Find the equations of the normal to the given curves at the indicated ...

    Text Solution

    |

  3. Find the equation of the tangent and normal to the given curve at the ...

    Text Solution

    |

  4. Find the equation of the tangent and normal to the given curve at the ...

    Text Solution

    |

  5. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  6. Find the equation of the tangent and normal to the given curve at the ...

    Text Solution

    |

  7. Find the equation of the tangent and normal to the given curve at the ...

    Text Solution

    |

  8. Find the equation of the tangent and normal to the given curve at the ...

    Text Solution

    |

  9. Find the equation of the tangent to the curve x=a"cos"^(3)theta,y=a"si...

    Text Solution

    |

  10. Find the equation of tangent to the curve : x^2 + 3y = 3 at which tang...

    Text Solution

    |

  11. Find the equation of the tangent to the curve 2x^(2)-y=-7, which is pa...

    Text Solution

    |

  12. Find the equation of the tangent to the curve 4x^(3)-3x+10=y, which is...

    Text Solution

    |

  13. Find the equation of the tangent to the curve y=x^(3)+2x+6, which is p...

    Text Solution

    |

  14. Find the point on the curve y = x^3 -11x +5 at which the tangent is y ...

    Text Solution

    |

  15. Find the point on the curve y=2x^(3)-15x^(2)+36x-21 at which the tange...

    Text Solution

    |

  16. Find the equations of all lines having slope 0 which are tangent to th...

    Text Solution

    |

  17. Find the equation of the normals to the curve y = x^3+2x+6 which are ...

    Text Solution

    |

  18. Find a point on the curve y=x^(3), where the tangent to the curve is p...

    Text Solution

    |

  19. Show that the curve xy=a^(2)andx^(2)+y^(2)=2a^(2) touch each other.

    Text Solution

    |

  20. Prove that the curves y^(2)=4axandxy=c^(2) cut at right angles if c^(4...

    Text Solution

    |