Home
Class 12
MATHS
Show that the line y= 2x -4 is a tangent...

Show that the line `y= 2x -4` is a tangent to the hyperbola `x^2/16-y^2/48=1`. Find its point of contact.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

Show that the line x- y +4=0 is tangent to the parabola y^(2)= 16x . Find the point of contact.

Show that the line y =x + sqrt7 touches the hyperbola 9x ^(2) - 16 y ^(2) = 144.

From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y^2)/9=1. Then the point of contact lies in the first quadrant (b) second quadrant third quadrant (d) fourth quadrant

From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y^2)/9=1. Then the point of contact lies in the (a) first quadrant (b) second quadrant (c) third quadrant (d) fourth quadrant

Show that the line are tangent to the given hyperbolas and determine the points of contact. x - 2y + 1 =0, x ^(2) -6y ^(2) =3

Show that the line are tangent to the given hyperbolas and dectermine the points of contact. x + 1 = 0, 4x ^(2) - 3y ^(2) =4

Show that the line 3x+ sqrt3y =12 is a tangent to the ellipse 9x^(2) +y^(2) = 36 . Find the coordinates of the point of contact.

Show that the line x + 2y - 4 = 0 touches the ellipse 3x^(2) + 4y^(2) = 12 also find the point of contact.

Show that the line x + ny + an ^(2) =0 touches the parabola y ^(2) = 4 ax and find the point of contact.

Prove that the straight line 5x + 12 y = 9 touches the hyperbola x ^(2) - 9 y ^(2) =9 and find the point of contact.

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find the equation of the curve such that the portion of the x-axis ...

    Text Solution

    |

  2. The rate of increase of the bacteria in a culture is proportional to t...

    Text Solution

    |

  3. Show that the line y= 2x -4 is a tangent to the hyperbola x^2/16-y^2/...

    Text Solution

    |

  4. Find the equation of a curve passing through the origin given that ...

    Text Solution

    |

  5. Find the equation of a curve passing through the point (0, 1) if the s...

    Text Solution

    |

  6. The slope of a curve at each of its points is equal to the square of t...

    Text Solution

    |

  7. What is differential equation and order and degree of a differential e...

    Text Solution

    |

  8. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  9. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  10. What is a differential equation and the order and degree of a differen...

    Text Solution

    |

  11. Write the differential equation representing the family of straight...

    Text Solution

    |

  12. Write the differential equation obtained by eliminating the arbitra...

    Text Solution

    |

  13. Write the differential equation obtained eliminating the arbitrary ...

    Text Solution

    |

  14. Write the degree of the differential equation a^2(d^2y)/(dx^2)={1+((dy...

    Text Solution

    |

  15. Write the order of the differential equation 1+((dy)/(dx))^2=7\ ((d^2y...

    Text Solution

    |

  16. Write the order and degree of the differential equation y=x(dy)/(dx)...

    Text Solution

    |

  17. Write the degree of the differential equation (d^2y)/(dx^2)+x((dy)/(dx...

    Text Solution

    |

  18. Form the differential equation of the family of circles touching the...

    Text Solution

    |

  19. Write the order of the differential equation of all non horizontal ...

    Text Solution

    |

  20. If sinx is an integrating factor of the differential equation (dy)/...

    Text Solution

    |