Home
Class 12
MATHS
If x+ky-5=0 is a tangent to the ellipse ...

If `x+ky-5=0` is a tangent to the ellipse `4x^(2)+9y^(2)=20` then k =

A

3

B

`-3`

C

`pm3`

D

`pm4`

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

Find the value of k if x+ky-5=0 is a tangent to the ellipse 4x^2+9y^2=20

If x+y+k=0 is a tangent to the circle x^(2)+y^(2)-2x-4y+3=0" then k"=

(i) Find the equations of the tangents to 9x^(2)+16y^(2)=144 , which makes equal inter­cepts on the coordinate axes. (ii) Find the value of k if 4x + y + k = 0 is a tangent to the ellipse x^(2) + 3y^(2) = 3

If 3x+4y+k=0 is a tangent to the circle x^(2)+y^2=16" then k"=

Find the value of k if 4x+y+k=0 is a tangent to the ellipse x^2+3y^2=3 .

If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k =

If x+y+k=0 is a tangent to the parabola x^(2)=4y then k=

The equation of the tangent of the ellipse 4x^(2)+9y^(2)=36 at the end of the latusrectum lying in the second quadrant, is

AAKASH SERIES-ELLIPSE-PRACTICE EXERCISE
  1. If the latus rectum of a hyperola forms an equilateral triangle with t...

    Text Solution

    |

  2. Area of the quadrilateral formed by the extremities of major axis and ...

    Text Solution

    |

  3. If x+ky-5=0 is a tangent to the ellipse 4x^(2)+9y^(2)=20 then k =

    Text Solution

    |

  4. The equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which ar...

    Text Solution

    |

  5. The point of contact 4x-5y+25=0 with the ellipse 9x^(2)+25y^(2)=225 is

    Text Solution

    |

  6. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

    Text Solution

    |

  7. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

    Text Solution

    |

  8. The radius of the director circle of 16x^(2)+9y^(2)=144 is

    Text Solution

    |

  9. The quadratic equation whose one root is (3+sqrt(5))/(2-sqrt(5)) is

    Text Solution

    |

  10. The equation to the auxiliary circle of (x^(2))/(12)+(y^(2))/(18)=1 is

    Text Solution

    |

  11. The equation of the normal to the ellipse x^(2)/4+y^(2)/1=1 at (2, -1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |