Home
Class 12
MATHS
A curve y=f(x) passes through (1,1) an...

A curve `y=f(x)` passes through `(1,1)` and tangent at `P(x , y)` cuts the x-axis and y-axis at `A` and `B` , respectively, such that `B P : A P=3,` then (a) equation of curve is ` x y^(prime)-3y=0` (b) normal at `(1,1)` is `x+3y=4` (c) curve passes through `2, 1/8` (d) equation of curve is `x y^(prime)+3y=0`

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

The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4x+6y+5) . If the curve passes through (0,-1), find the equation of the curve.

A normal is drawn at a point P(x , y) of a curve. It meets the x-axis and the y-axis in point A AND B , respectively, such that 1/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5, 4)

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

The slope at any point of a curve y=f(x) is given by (dy)/(dx)=3x^(2) and it passes through (-1,1). The equation of the curve is

The curve 3y^2=2ax^2+6b passes through the point P(3.-1) and the gradient of curve at P is -1. Find the values of a and b

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

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

A normal at P(x , y) on a curve meets the x-axis at Q and N is the foot of the ordinate at Pdot If N Q=(x(1+y^2))/(1+x^2) , then the equation of curve given that it passes through the point (3,1) is

The equation of a curve passing through (2,7/2) and having gradient 1-1/(x^2) at (x , y) is

CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The order of the differential equation whose general solution is gi...

    Text Solution

    |

  2. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  3. A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts t...

    Text Solution

    |

  4. A curve is such that the mid-point of the portion of the tangent inter...

    Text Solution

    |

  5. The equation of a curve passing through (2,7/2) and having gradien...

    Text Solution

    |

  6. The equation of the curve which is such that the portion of the axi...

    Text Solution

    |

  7. A normal at P(x , y) on a curve meets the x-axis at Q and N is t...

    Text Solution

    |

  8. The differential equation of all non-horizontal lines in a plane is

    Text Solution

    |

  9. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  10. The differential equation of the curve for which the initial ordina...

    Text Solution

    |

  11. Orthogonal trajectories of family of the curve x^(2/3)+y^(2/3)=a^((2/3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |