Home
Class 12
MATHS
Tangent to a curve intercepts the y-axis...

Tangent to a curve intercepts the y-axis at a point `P` .A line perpendicular to this tangent through `P` passes through another point `(1,0).` The differential equation of the curve is

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 equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

The tangent at any point P to a curve C intersects the coordinate axes at A and B. If P be the mid-point of the line segment AB and the curve passes through the point (1,1), find the equation of the curve C.

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

The slope of a curve at ( x,y) is 2x+1 . If the curve passes through the point (-4,2) , find the equation of the curve .

The slope of a curve at (x,y) is (x^(2)-2) and it passes through the point (3,8) . Find the equation of the curve

A curve C has the property that if the tangent drawn at any point P on C meets the co-ordinate axis at A and B , then P is the mid-point of A Bdot The curve passes through the point (1,1). Determine the equation of the curve.

Write True or False P is any point inside the circle. The tangent to the circle always passes through the point P.

The slope of the tangent at (x , y) to a curve passing through a point (2,1) is (x^2+y^2)/(2x y) , then the equation of the curve is

If the slope of the tangent at (x,y) to a curve passing through the point (2,1) is (x^(2)+y^(2))/(2xy) , then the equation of the curve is-

The tangent to a circle and the radius passing through the point of contact are perpendicular to each other.

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

  2. Which of the following is not the differential equation of family of c...

    Text Solution

    |

  3. Tangent to a curve intercepts the y-axis at a point P .A line perpend...

    Text Solution

    |

  4. The solution of the differential equation (xcoty+logcosx)dy+(logsiny-y...

    Text Solution

    |

  5. The curve with the property that the projection of the ordinate on ...

    Text Solution

    |

  6. The differential equation of all parabolas each of which has a latu...

    Text Solution

    |

  7. The solution of differential equation xy.dy/(dx)=(x+2)(y+2) is given b...

    Text Solution

    |

  8. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  9. find equation of normal at point (am^2, am^3) to the curve ay^2=x^3

    Text Solution

    |

  10. The equation of a curve passing through (1,0) for which the product...

    Text Solution

    |

  11. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  12. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  13. The solution to the differential equation ylogy+x y^(prime)=0, where ...

    Text Solution

    |

  14. The form of the differential equation of the central conics a x^2+b...

    Text Solution

    |

  15. The differential equation for the family of curve x^2+y^2-2a y=0, whe...

    Text Solution

    |

  16. If dy/dx=(e^y-x)^(-1), where y(0)=0 , then y is expressed explic...

    Text Solution

    |

  17. If y=x/(log|cx|) (where c is an arbitrary constant) is the genera...

    Text Solution

    |

  18. Differential equation of the family of circles touching the line y=...

    Text Solution

    |

  19. The differential equation of all parabolas whose axis are parallel ...

    Text Solution

    |

  20. A differential equation associated to the primitive y=a+b e^(5x)+c...

    Text Solution

    |