Home
Class 12
MATHS
The equation of the tangent at a point t...

The equation of the tangent at a point `theta=3pi//4` to the ellipse `x^(2)//16+y^(2)//9=1` is

A

`3x+4y+12sqrt(2)=0`

B

`3x+4y-12sqrt(2)=0`

C

`3x-4y+12sqrt(2)=0`

D

`3x-4y-12sqrt(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-II|68 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

The equation of the tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

Find the equation of tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4) = 1

The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) + 16y^(2) = 144

Find the equation of the tangent and normal at (pi)/(4) on the ellipse to the ellipse (x^(2))/(16)+(y^(2))/(9)=1

The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

The equation of the circle passing through the foci of the ellipse x^(2)/16+y^(2)/9=1 , and having centre at (0, 3) is :

(i) Find the equations of the tangent and normal at the positive end of the latusrectum of the ellipse 9x^(2) + 1 6 y^(2) = 144 (ii) Find the equations of the tangent and normal to the ellipse 2x^(2) + 3y^(2) = 11 at the point whose ordinate is one.

The equation of the circle passing through the foci of the ellipse (x^(2))/( 16) + ( y^(2))/( 9) = 1 , and having centre at (0,3) is

The equation of the normal to the ellipse x^(2)//16+y^(2)//9=1 at the point whose eccentric angle theta=pi//6 is

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

    Text Solution

    |

  2. The equations of the tangents drawn from (2, 3) to the ellipse 9x^(2) ...

    Text Solution

    |

  3. If a gt b and e is the eccentricity of the ellipse then the equation ...

    Text Solution

    |

  4. If the normal at one end of latusrectum of an ellipse (x^(2))/(a^(2))...

    Text Solution

    |

  5. The equation to the locus of point of intersection of lines y-mx=sqr...

    Text Solution

    |

  6. The number of tangents that can be drawn to an ellipse perpendicular t...

    Text Solution

    |

  7. If the chords of contact of tangents from two points to the ellipse ar...

    Text Solution

    |

  8. The mid point of the chord 3x - 2y + 8 = 0 of the ellipse 3x^(2) + 4y^...

    Text Solution

    |

  9. The distance of a point on the ellipse x^(2) + 3y^(2) = 6 from its cen...

    Text Solution

    |

  10. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

    Text Solution

    |

  11. The equation of the normal to the ellipse at the point whose eccentri...

    Text Solution

    |

  12. P is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 S and S...

    Text Solution

    |

  13. If the chord joining two points whose eccentric angles are alpha and ...

    Text Solution

    |

  14. If alpha and beta are the eccentric angles of the ends of a focal chor...

    Text Solution

    |

  15. The minimum area of triangle formed by the tangent to the ellipse (x^(...

    Text Solution

    |

  16. If a tangent to the ellipse meets major and minor axis at M and N resp...

    Text Solution

    |

  17. The locus of the variable point P for which the chord of contact of to...

    Text Solution

    |

  18. If pi+theta is the eccentric angle of a point on the ellipse 16x^(2)+2...

    Text Solution

    |

  19. The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^...

    Text Solution

    |

  20. If y = mx + c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |