Home
Class 12
MATHS
Find the condition for the curves: x^2/a...

Find the condition for the curves: `x^2/a^2-y^2/b^2=1,xy=c^2` to intersect orthogonally.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Find the condition for the curves (X^2)/(a^2) - (y^2)/(b^2) = 1 and xy = c^2 to intersect orthogonally.

Find the condition that the curves 2x = y^2 and 2 xy = k may intersect orthogonally.

Find slope of tangent to the curve x^2 +y^2 = a^2/2

Find the equation of the tangent to the curve x^2/a^2-y^2/b^2=1 at the point (x_1,y_1)

Find the equations of the tangent and the normal to the curve x^2/a^2-y^2/b^2=1 at the point (sqrt2a,b)

Find the angle of intersection of the curves: y^2=4x and x^2=4y

Find the asymptotes of the curve xy-3y-2x=0.

If the curves: alphax^2 + betay^2 =1 and alpha'x^2 + beta'y^2=1 intersect orthogonally, prove that (alpha-alpha') betabeta' = (beta-beta') alphaalpha'

Find the area enclosed by the curves max(2|x|,2|y|)=1

Find the angle of intersection of the curves y =4-x^(2) and y=x^(2)

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the condition for the curves: x^2/a^2-y^2/b^2=1,xy=c^2 to interse...

    Text Solution

    |

  2. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  3. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

    Text Solution

    |

  5. The radius of a soap-bubble is increasing at the rate of 0.2cm/s. Find...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The radius of a circle is increasing uniformly at the rate of 4 cm per...

    Text Solution

    |

  8. If the area of a circle increases uniformly, then show that the rate o...

    Text Solution

    |

  9. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |

  10. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  11. The radius of spherical balloon is increasing at the rate 5 cm per sec...

    Text Solution

    |

  12. The radius of a spherical soap bubble is increasing at the rate of 0.3...

    Text Solution

    |

  13. A balloon, which always remains spherical, has a variable diameter 3/2...

    Text Solution

    |

  14. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  15. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  16. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

    Text Solution

    |

  17. The volume of a cube is increasing at the rate of 7 cubic metre per se...

    Text Solution

    |

  18. A particle moves along the curve y=4/(3)x^(3)+5. Find the points on th...

    Text Solution

    |

  19. A particle move along the curve 6y = x^3 +2. Find the points on the cr...

    Text Solution

    |

  20. The radius of a cylinder increases at the rate of 1 cm/s and its heigh...

    Text Solution

    |

  21. The contentment obtained after eating X-units of a new dish at a trial...

    Text Solution

    |