Home
Class 12
MATHS
The normal lines to a given curve at eac...

The normal lines to a given curve at each point (x,y) on the curve pass through (2,0).The curve passes through (2,3).Find the equation of the curve.

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

Similar Questions

Explore conceptually related problems

The normal to a given curve at each point (x ,y) on the curve passes through the point (3,0) If the curve contains the point (3,4), find its equation.

A curve passes through (1,pi/4) and at (x,y) its slope is (sin 2y)/(x+tan y). Find the equation to the curve.

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

The curve passes through the point (0,2) the sums of the co-ordinates of any point the curve exceeds the slope of the tangent to the curve at that point by 5.Find the equation of the curve.

The slope of the tangent at (x , y) to a curve passing through (1,pi/4) is given by y/x-cos^2(y/x), then the equation of the curve is

At any point on a curve , the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point.If the curve passes through (0,1), then the equation of the curve is

The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the curve passes through the point (1,2) then the area of the region bounded by the curve, the x-axis and the line x=1 is

CHETANA PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Find the particular solution of the following differential equations.(...

    Text Solution

    |

  2. Find the particular solution of the following differential equations.d...

    Text Solution

    |

  3. The normal lines to a given curve at each point (x,y) on the curve pas...

    Text Solution

    |

  4. Solve the following differential equations.(2)x sin x dy/dx+(x cos x+s...

    Text Solution

    |

  5. Solve the following differential equations.(3)(1+y^2)dx=(tan^-1y-x)dy

    Text Solution

    |

  6. Solve the following differential equations.(5)(x+y)dy/dx=1

    Text Solution

    |

  7. Solve the following differential equations. x dy/dx+(2x^2)/(1+x^2)y=1

    Text Solution

    |

  8. Find the equation of the curve passing through the origin.given that t...

    Text Solution

    |

  9. In a certain culture of bacteria the rate of increase in proportional ...

    Text Solution

    |

  10. If the population of a country doubles in 60 years,in how many years w...

    Text Solution

    |

  11. If a body cools from 80^@C to 50^@ C at room temperature of 25^@ C in ...

    Text Solution

    |

  12. The rate of growth of bacteria is proportional to the number present.I...

    Text Solution

    |

  13. The rate of disintegration of a radioactive element at any time t is p...

    Text Solution

    |

  14. The rate of decay of certain substance is directly proportional to the...

    Text Solution

    |

  15. Find the population of a city at any time t,given that the rate of inc...

    Text Solution

    |

  16. A body cools according to Newton's law from 100^@ C to 60^@ C in 20 mi...

    Text Solution

    |

  17. A right circular cone has height 9 cms and radius of the base 5 cms.It...

    Text Solution

    |

  18. Assume that a spherical raindrop evaporates at a rate proportional to ...

    Text Solution

    |

  19. The rate of growth of the population of a city at any time t is propor...

    Text Solution

    |

  20. Radium decomposes at the rate proportional to the amount present at an...

    Text Solution

    |