Home
Class 12
MATHS
Show that the line y = mx + c touchees ...

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

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

Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = (a)/(m) .

Show that the line y = mx + c touches the ellips x^2/a^2 + y^2/b^2 = 1 if c^2 = a^2m^2 + b^2 .

Show that the line y=mx+c touches the curve x^2/a^2-y^2/b^2 = 1 if c^2=a^2m^2-b^2

Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc .

Show that the line (x)/(a) + (y)/(b) = 1 , touches the curve y = be^(-x//a) at point, where curve intersects the axes.

Show that the lines lx + my + n = 0 , mx + ny + l = 0 and nx + ly + m = 0 are concurrent, if l + m + n = 0.

obtain the condition that the line lx+my+n=0 will touch the parabola y^2=4ax .

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |