Home
Class 12
MATHS
Find the point (S) on the curve x=(3at)/...

Find the point (S) on the curve
`x=(3at)/(1+t^2)`, `y=(3at^2)/(1+t^2)`
where the tangent is perependicular to the line 4x+3y+5=0.

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve 4x^(2) + 9y^(2) = 1 , where the tangents are perpendicular to the line 2y + x = 0.

Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent is parallel to the x - axis.

Find the point on the curve y^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.

Find the points on the curve x^2+y^2-2x-4y+1=0, where the tangent is parallel to y-axis

Find the points on the curve y = x^3 – 3x^2 + 2x at which the tangents to the curve is parallel to the line y-2x+3 = 0.

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the equations to the tangents and normals to the following curves...

    Text Solution

    |

  2. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

    Text Solution

    |

  3. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

    Text Solution

    |

  4. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

    Text Solution

    |

  5. Show that the line y = mx + c touchees y = 4ax if c = a/m.

    Text Solution

    |

  6. Show that the line y = mx + c touches the ellips x^2/a^2 + y^2/b^2 =...

    Text Solution

    |

  7. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  8. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

    Text Solution

    |

  9. Show that the curves ax^2 + by^2 = 1 and a' x^2 + b' y^2 = 1. Interse...

    Text Solution

    |

  10. Find the equasion of the tangents drawn from the point (1,2) to the cu...

    Text Solution

    |

  11. Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3)is ...

    Text Solution

    |

  12. Show that the length of the portion of the tangent to x^(2/3) + y^(2/3...

    Text Solution

    |

  13. Find the tangent to the curve y = cos (x + y), 0 lt x lt 2 pi which...

    Text Solution

    |

  14. If tangents are drawn from the origin to the curve y = sin x then sho...

    Text Solution

    |

  15. Find the equation of the normal to the curve given by x = 3 cos thet...

    Text Solution

    |

  16. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

    Text Solution

    |

  17. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  18. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  19. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  20. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |