Home
Class 12
MATHS
Find the orthogonal trajectories of xy=c...

Find the orthogonal trajectories of `xy=c`.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Archives|14 Videos

Similar Questions

Explore conceptually related problems

Find the orthogonal trajectories of family of curves x^2+y^2=c x

Find the orthogonal trajectory of y^2=4a x (a being the parameter).

Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3)) , where a is any arbitrary constant, is

what are orthogonal unit vectors ?

In Sommerfeld's modification of Bohr's theory, the trajectory of an electron in a hydrogen atom is

If both A-1/2Ia n dA+1/2 are orthogonal matices, then (a) A is orthogonal (b) A is skew-symmetric matrix of even order (c) A^2=3/4I (d)none of these

Show that, A = 1/3[[1,2,2],[2,1,-2],[-2,2,-1]] are orthogonal matrix and hence find A^(-1) .

If the curves y^(2)= 4x and xy = k cut orthogonally, then the value of k^(2) will be-

If A be an orthogonal matrix, then the value of A^(-1) will be -

Show that , A = (1)/(sqrt2)[(1,1),(-1,1)] is a proper orthogonal matrix. Hence find A^(-1)

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Find the order and degree of the following differential equation: (dy)...

    Text Solution

    |

  2. Find the curve for which the perpendicular from the foot of the ord...

    Text Solution

    |

  3. Find the orthogonal trajectories of xy=c.

    Text Solution

    |

  4. Find the order and degree of the following differential equation: (d^2...

    Text Solution

    |

  5. Find the order and degree of the following differential equation: ln((...

    Text Solution

    |

  6. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

    Text Solution

    |

  7. The rate at which a substance cools in moving air is proportional to ...

    Text Solution

    |

  8. Find the equation of the curve in which the subnormal varies as the ...

    Text Solution

    |

  9. Solve: (dy)/(dx) = (siny+x)/(sin2y-xcosy)

    Text Solution

    |

  10. Solve (x-1)dy+ydx=x(x-1)y^(1/3)dxdot

    Text Solution

    |

  11. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis...

    Text Solution

    |

  12. Find the curve for which the length of normal is equal to the radius v...

    Text Solution

    |

  13. What is the integrating factor of the differential equation (1-y^2)(dx...

    Text Solution

    |

  14. The solution of the differential equation {1+xsqrt((x^2+y^2))}dx+{sqr...

    Text Solution

    |

  15. The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x...

    Text Solution

    |

  16. Find the solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx...

    Text Solution

    |

  17. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-...

    Text Solution

    |

  18. The solution of the differential equation (e^x+e^(-x))dy-(e^x-e^(-x))d...

    Text Solution

    |

  19. The solution of the differential equation (x+2y^3)((dy)/(dx))=y is

    Text Solution

    |

  20. The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and...

    Text Solution

    |