Home
Class 12
MATHS
Find the curve for which the perpendicul...

Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

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 foot of the perpendicular from the point (2,4) upon x+y=1.

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is

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

Find the locus of the foot of the perpendicular from the point (a,0) to the straight line x-ty+at^(2)=0 , t being variable.

A straight line moves so that the product of the length of the perpendiculars on it from two fixed points is constant. Prove that the locus of the feet of the perpendiculars from each of these points upon the straight line is a unique circle.

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is

Find the locus of the foot of the perpendicular drawn from the origin to the straight line which passes through the fixed point (a,b).

Find the foot of perpendicular drawn from the point (2, 2) to the line 3x - 4y + 5 = 0

If the locus of the middle of point of contact of tangent drawn to the parabola y^2=8x and the foot of perpendicular drawn from its focus to the tangents is a conic, then the length of latus rectum of this conic is 9/4 (b) 9 (c) 18 (d) 9/2

Find the foot of the perpendicular drawn from the point (2 hati - hatj + 5hatk) to the line vec r= (11hati - 2 hatj - 8hatk)+t(10 hat i-4 hatj - 11hatk) . Find also the length of the perpendicular.

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

    Text Solution

    |

  2. Find the order and degree of the following differential equation: (dy)...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the orthogonal trajectories of xy=c.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |