Home
Class 12
MATHS
Find the equations of tangents to the el...

Find the equations of tangents to the ellipse `2x^2+y^2=8` which are
which makes an angle `pi/4` with x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`x+-2 sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXAMPLE|9 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|7 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Find the equations of tangents to the ellipse 2x^2+y^2=8 which are Parallel to x-2y-4=0

Find the equations of tangents to the ellipse 2x^2+y^2=8 which are perpendicular to x+y+2=0

The equation of tangent to the ellipse 2x^(2)+3y^(2)=6 which make an angle 30^(@) with the major axis is

Find the equations of the tangents to the ellipse 2x^(2) + y^(2) = 8 which are (i) parallel to x - 2y - 4 (ii) perpendicular to x + y + 2 = 0

Equations of tangents to the hyperbola 4x^(2)-3y^(2)=24 which makes an angle 30^(@) with y-axis are

Find the equation of the tangents to the circle x^(2) + y^(2) -4x - 6y + 3 = 0 which makes an angle 45^(@) with X - axis.

Find the equation of tangent and normal to the ellipse x^2+8y^2=33 at (-1,2).

Find the equation of tangents to, the hyperbola x^2-4y^2 = 4 which are parallel x+2y=0.

Find the locus of point of intersection of tangents to the ellipse x^2/a^2+y^2/b^2=1 which are inclined at an angle alpha with each other.

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. Find the equations of tangents to the ellipse 2x^2+y^2=8 which are w...

    Text Solution

    |

  2. If length of the major axis is 8 and e = 1/sqrt(2)Axes are co-ordinate...

    Text Solution

    |

  3. The equation of the ellipse whose vertices are (2, 5), (2, -1) and ecc...

    Text Solution

    |

  4. The equation of the ellipse whose focus is (2, 4), centre is (3, 4) an...

    Text Solution

    |

  5. The equation of the ellipse whose centre is (5, 2) vertex is (9, 2), t...

    Text Solution

    |

  6. Axes are co-ordinate axes, the ellipse passes through the points where...

    Text Solution

    |

  7. Axes are co-ordinate axes, A and B are ends of major axes and minor ax...

    Text Solution

    |

  8. The axis of the ellipse are coordinate axes. It passes through the pts...

    Text Solution

    |

  9. Latus Rectum is 4 and e=(1)/sqrt(2) axes are co­ordinate axes, eq. ...

    Text Solution

    |

  10. The equation of the ellipse with its axes as the coordinate axes and ...

    Text Solution

    |

  11. The centre of a ellipse where axes is parllel to co-ordinate axes is (...

    Text Solution

    |

  12. The equation of the ellipse whose vertices are (-4, 1), (6, 1) and one...

    Text Solution

    |

  13. If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse t...

    Text Solution

    |

  14. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

    Text Solution

    |

  15. The foci of the ellipse 36x^(2) + 9y^(2) = 324 are

    Text Solution

    |

  16. The coordinates of the foci of the ellipse 4x^(2) + 9y^(2) = 1 are

    Text Solution

    |

  17. The length of the latusrectum of ((x-3)^(2))/(16)+(y-2)^(2)/(36)=1 is

    Text Solution

    |

  18. The equation of the minor axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2)/...

    Text Solution

    |

  19. The equations of the directrices of the ellipse 9x^(2) + 25y^(2) = 22...

    Text Solution

    |

  20. The vertices of the ellipse 9x^(2) + 25y^(2) - 90x - 150y + 225 = 0 ar...

    Text Solution

    |

  21. The foci of the ellipse 9x^(2)+ 5(y^(2)-10y +25)=45 are

    Text Solution

    |